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Finding the Third Proportional to 709,465.08 and 1,063,155.38

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Solution

The third proportional to 709,465.08 and 1,063,155.38 is: 1,593,171.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,465.08 : 1,063,155.38 = 1,063,155.38 : x
  2. Step 2: Convert to fraction form
    709,465.08/1,063,155.38 = 1,063,155.38/x
  3. Step 3: Cross multiply
    709,465.08x = 1,063,155.38 × 1,063,155.38
  4. Step 4: Simplify right side
    709,465.08x = 1,130,299,351,391.39
  5. Step 5: Solve for x
    x = 1,130,299,351,391.39/709,465.08
  6. Step 6: Final answer
    x = 1,593,171.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.