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Finding the Third Proportional to 337,921.50 and 472,437

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Solution

The third proportional to 337,921.50 and 472,437 is: 660,498.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,921.50 : 472,437 = 472,437 : x
  2. Step 2: Convert to fraction form
    337,921.50/472,437 = 472,437/x
  3. Step 3: Cross multiply
    337,921.50x = 472,437 × 472,437
  4. Step 4: Simplify right side
    337,921.50x = 223,196,718,969
  5. Step 5: Solve for x
    x = 223,196,718,969/337,921.50
  6. Step 6: Final answer
    x = 660,498.72

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.