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Finding the Third Proportional to 560,727 and 869,683.50

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Solution

The third proportional to 560,727 and 869,683.50 is: 1,348,872.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,727 : 869,683.50 = 869,683.50 : x
  2. Step 2: Convert to fraction form
    560,727/869,683.50 = 869,683.50/x
  3. Step 3: Cross multiply
    560,727x = 869,683.50 × 869,683.50
  4. Step 4: Simplify right side
    560,727x = 756,349,390,172.25
  5. Step 5: Solve for x
    x = 756,349,390,172.25/560,727
  6. Step 6: Final answer
    x = 1,348,872.79

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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.