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Finding the Third Proportional to 664,336.13 and 1,030,646.25

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Solution

The third proportional to 664,336.13 and 1,030,646.25 is: 1,598,937.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,336.13 : 1,030,646.25 = 1,030,646.25 : x
  2. Step 2: Convert to fraction form
    664,336.13/1,030,646.25 = 1,030,646.25/x
  3. Step 3: Cross multiply
    664,336.13x = 1,030,646.25 × 1,030,646.25
  4. Step 4: Simplify right side
    664,336.13x = 1,062,231,692,639.06
  5. Step 5: Solve for x
    x = 1,062,231,692,639.06/664,336.13
  6. Step 6: Final answer
    x = 1,598,937.12

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.