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Finding the Third Proportional to 585,103.50 and 928,387.50

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Solution

The third proportional to 585,103.50 and 928,387.50 is: 1,473,078.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,103.50 : 928,387.50 = 928,387.50 : x
  2. Step 2: Convert to fraction form
    585,103.50/928,387.50 = 928,387.50/x
  3. Step 3: Cross multiply
    585,103.50x = 928,387.50 × 928,387.50
  4. Step 4: Simplify right side
    585,103.50x = 861,903,350,156.25
  5. Step 5: Solve for x
    x = 861,903,350,156.25/585,103.50
  6. Step 6: Final answer
    x = 1,473,078.44

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.