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Finding the Third Proportional to 302,841,919.13 and 658,827,938.25

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Solution

The third proportional to 302,841,919.13 and 658,827,938.25 is: 1,433,270,048.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,841,919.13 : 658,827,938.25 = 658,827,938.25 : x
  2. Step 2: Convert to fraction form
    302,841,919.13/658,827,938.25 = 658,827,938.25/x
  3. Step 3: Cross multiply
    302,841,919.13x = 658,827,938.25 × 658,827,938.25
  4. Step 4: Simplify right side
    302,841,919.13x = 434,054,252,218,745,792
  5. Step 5: Solve for x
    x = 434,054,252,218,745,792/302,841,919.13
  6. Step 6: Final answer
    x = 1,433,270,048.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.