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Finding the Third Proportional to 302,479.13 and 658,300.31

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Solution

The third proportional to 302,479.13 and 658,300.31 is: 1,432,691.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,479.13 : 658,300.31 = 658,300.31 : x
  2. Step 2: Convert to fraction form
    302,479.13/658,300.31 = 658,300.31/x
  3. Step 3: Cross multiply
    302,479.13x = 658,300.31 × 658,300.31
  4. Step 4: Simplify right side
    302,479.13x = 433,359,301,437.60
  5. Step 5: Solve for x
    x = 433,359,301,437.60/302,479.13
  6. Step 6: Final answer
    x = 1,432,691.60

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