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Finding the Third Proportional to 560,157 and 861,001.50

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Solution

The third proportional to 560,157 and 861,001.50 is: 1,323,421.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,157 : 861,001.50 = 861,001.50 : x
  2. Step 2: Convert to fraction form
    560,157/861,001.50 = 861,001.50/x
  3. Step 3: Cross multiply
    560,157x = 861,001.50 × 861,001.50
  4. Step 4: Simplify right side
    560,157x = 741,323,583,002.25
  5. Step 5: Solve for x
    x = 741,323,583,002.25/560,157
  6. Step 6: Final answer
    x = 1,323,421.08

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.