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Finding the Third Proportional to 462,064.50 and 930,997.13

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Solution

The third proportional to 462,064.50 and 930,997.13 is: 1,875,832.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,064.50 : 930,997.13 = 930,997.13 : x
  2. Step 2: Convert to fraction form
    462,064.50/930,997.13 = 930,997.13/x
  3. Step 3: Cross multiply
    462,064.50x = 930,997.13 × 930,997.13
  4. Step 4: Simplify right side
    462,064.50x = 866,755,646,758.27
  5. Step 5: Solve for x
    x = 866,755,646,758.27/462,064.50
  6. Step 6: Final answer
    x = 1,875,832.59

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.