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Finding the Third Proportional to 406,265.63 and 865,019.25

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Solution

The third proportional to 406,265.63 and 865,019.25 is: 1,841,795.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,265.63 : 865,019.25 = 865,019.25 : x
  2. Step 2: Convert to fraction form
    406,265.63/865,019.25 = 865,019.25/x
  3. Step 3: Cross multiply
    406,265.63x = 865,019.25 × 865,019.25
  4. Step 4: Simplify right side
    406,265.63x = 748,258,302,870.56
  5. Step 5: Solve for x
    x = 748,258,302,870.56/406,265.63
  6. Step 6: Final answer
    x = 1,841,795.75

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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.