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Finding the Third Proportional to 337,927.50 and 472,444.88

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Solution

The third proportional to 337,927.50 and 472,444.88 is: 660,509.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,927.50 : 472,444.88 = 472,444.88 : x
  2. Step 2: Convert to fraction form
    337,927.50/472,444.88 = 472,444.88/x
  3. Step 3: Cross multiply
    337,927.50x = 472,444.88 × 472,444.88
  4. Step 4: Simplify right side
    337,927.50x = 223,204,159,913.77
  5. Step 5: Solve for x
    x = 223,204,159,913.77/337,927.50
  6. Step 6: Final answer
    x = 660,509.01

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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.