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Finding the Third Proportional to 398,047.50 and 595,612.50

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Solution

The third proportional to 398,047.50 and 595,612.50 is: 891,235.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,047.50 : 595,612.50 = 595,612.50 : x
  2. Step 2: Convert to fraction form
    398,047.50/595,612.50 = 595,612.50/x
  3. Step 3: Cross multiply
    398,047.50x = 595,612.50 × 595,612.50
  4. Step 4: Simplify right side
    398,047.50x = 354,754,250,156.25
  5. Step 5: Solve for x
    x = 354,754,250,156.25/398,047.50
  6. Step 6: Final answer
    x = 891,235.97

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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.