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Finding the Third Proportional to 415,963.13 and 658,090.13

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Solution

The third proportional to 415,963.13 and 658,090.13 is: 1,041,156.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,963.13 : 658,090.13 = 658,090.13 : x
  2. Step 2: Convert to fraction form
    415,963.13/658,090.13 = 658,090.13/x
  3. Step 3: Cross multiply
    415,963.13x = 658,090.13 × 658,090.13
  4. Step 4: Simplify right side
    415,963.13x = 433,082,612,622.52
  5. Step 5: Solve for x
    x = 433,082,612,622.52/415,963.13
  6. Step 6: Final answer
    x = 1,041,156.26

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.