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Finding the Third Proportional to 262,281 and 398,545.50

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Solution

The third proportional to 262,281 and 398,545.50 is: 605,604.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,281 : 398,545.50 = 398,545.50 : x
  2. Step 2: Convert to fraction form
    262,281/398,545.50 = 398,545.50/x
  3. Step 3: Cross multiply
    262,281x = 398,545.50 × 398,545.50
  4. Step 4: Simplify right side
    262,281x = 158,838,515,570.25
  5. Step 5: Solve for x
    x = 158,838,515,570.25/262,281
  6. Step 6: Final answer
    x = 605,604.35

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.