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Finding the Third Proportional to 406,303.50 and 865,099.50

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Solution

The third proportional to 406,303.50 and 865,099.50 is: 1,841,965.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,303.50 : 865,099.50 = 865,099.50 : x
  2. Step 2: Convert to fraction form
    406,303.50/865,099.50 = 865,099.50/x
  3. Step 3: Cross multiply
    406,303.50x = 865,099.50 × 865,099.50
  4. Step 4: Simplify right side
    406,303.50x = 748,397,144,900.25
  5. Step 5: Solve for x
    x = 748,397,144,900.25/406,303.50
  6. Step 6: Final answer
    x = 1,841,965.78

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.