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Finding the Third Proportional to 581,683.50 and 869,005

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Solution

The third proportional to 581,683.50 and 869,005 is: 1,298,248.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,683.50 : 869,005 = 869,005 : x
  2. Step 2: Convert to fraction form
    581,683.50/869,005 = 869,005/x
  3. Step 3: Cross multiply
    581,683.50x = 869,005 × 869,005
  4. Step 4: Simplify right side
    581,683.50x = 755,169,690,025
  5. Step 5: Solve for x
    x = 755,169,690,025/581,683.50
  6. Step 6: Final answer
    x = 1,298,248.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.