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Finding the Third Proportional to 412,921.13 and 631,725.19

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Solution

The third proportional to 412,921.13 and 631,725.19 is: 966,472.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,921.13 : 631,725.19 = 631,725.19 : x
  2. Step 2: Convert to fraction form
    412,921.13/631,725.19 = 631,725.19/x
  3. Step 3: Cross multiply
    412,921.13x = 631,725.19 × 631,725.19
  4. Step 4: Simplify right side
    412,921.13x = 399,076,712,521.91
  5. Step 5: Solve for x
    x = 399,076,712,521.91/412,921.13
  6. Step 6: Final answer
    x = 966,472.02

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.