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Finding the Third Proportional to 317,724 and 698,416.50

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Solution

The third proportional to 317,724 and 698,416.50 is: 1,535,249.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,724 : 698,416.50 = 698,416.50 : x
  2. Step 2: Convert to fraction form
    317,724/698,416.50 = 698,416.50/x
  3. Step 3: Cross multiply
    317,724x = 698,416.50 × 698,416.50
  4. Step 4: Simplify right side
    317,724x = 487,785,607,472.25
  5. Step 5: Solve for x
    x = 487,785,607,472.25/317,724
  6. Step 6: Final answer
    x = 1,535,249.49

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.