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Finding the Third Proportional to 317,587.50 and 681,223.50

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Solution

The third proportional to 317,587.50 and 681,223.50 is: 1,461,220.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,587.50 : 681,223.50 = 681,223.50 : x
  2. Step 2: Convert to fraction form
    317,587.50/681,223.50 = 681,223.50/x
  3. Step 3: Cross multiply
    317,587.50x = 681,223.50 × 681,223.50
  4. Step 4: Simplify right side
    317,587.50x = 464,065,456,952.25
  5. Step 5: Solve for x
    x = 464,065,456,952.25/317,587.50
  6. Step 6: Final answer
    x = 1,461,220.79

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.