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Finding the Third Proportional to 423,880,134 and 572,519,610

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Solution

The third proportional to 423,880,134 and 572,519,610 is: 773,281,589.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,880,134 : 572,519,610 = 572,519,610 : x
  2. Step 2: Convert to fraction form
    423,880,134/572,519,610 = 572,519,610/x
  3. Step 3: Cross multiply
    423,880,134x = 572,519,610 × 572,519,610
  4. Step 4: Simplify right side
    423,880,134x = 327,778,703,834,552,128
  5. Step 5: Solve for x
    x = 327,778,703,834,552,128/423,880,134
  6. Step 6: Final answer
    x = 773,281,589.64

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.