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Finding the Third Proportional to 598,657.50 and 897,952.50

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Solution

The third proportional to 598,657.50 and 897,952.50 is: 1,346,878.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,657.50 : 897,952.50 = 897,952.50 : x
  2. Step 2: Convert to fraction form
    598,657.50/897,952.50 = 897,952.50/x
  3. Step 3: Cross multiply
    598,657.50x = 897,952.50 × 897,952.50
  4. Step 4: Simplify right side
    598,657.50x = 806,318,692,256.25
  5. Step 5: Solve for x
    x = 806,318,692,256.25/598,657.50
  6. Step 6: Final answer
    x = 1,346,878.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.