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Finding the Third Proportional to 473,014.69 and 637,351.03

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Solution

The third proportional to 473,014.69 and 637,351.03 is: 858,781.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,014.69 : 637,351.03 = 637,351.03 : x
  2. Step 2: Convert to fraction form
    473,014.69/637,351.03 = 637,351.03/x
  3. Step 3: Cross multiply
    473,014.69x = 637,351.03 × 637,351.03
  4. Step 4: Simplify right side
    473,014.69x = 406,216,337,035.44
  5. Step 5: Solve for x
    x = 406,216,337,035.44/473,014.69
  6. Step 6: Final answer
    x = 858,781.66

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