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Finding the Third Proportional to 310,444.50 and 474,689.25

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Solution

The third proportional to 310,444.50 and 474,689.25 is: 725,829.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,444.50 : 474,689.25 = 474,689.25 : x
  2. Step 2: Convert to fraction form
    310,444.50/474,689.25 = 474,689.25/x
  3. Step 3: Cross multiply
    310,444.50x = 474,689.25 × 474,689.25
  4. Step 4: Simplify right side
    310,444.50x = 225,329,884,065.56
  5. Step 5: Solve for x
    x = 225,329,884,065.56/310,444.50
  6. Step 6: Final answer
    x = 725,829.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.