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Finding the Third Proportional to 317,023.88 and 463,871.81

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Solution

The third proportional to 317,023.88 and 463,871.81 is: 678,740.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,023.88 : 463,871.81 = 463,871.81 : x
  2. Step 2: Convert to fraction form
    317,023.88/463,871.81 = 463,871.81/x
  3. Step 3: Cross multiply
    317,023.88x = 463,871.81 × 463,871.81
  4. Step 4: Simplify right side
    317,023.88x = 215,177,058,432.04
  5. Step 5: Solve for x
    x = 215,177,058,432.04/317,023.88
  6. Step 6: Final answer
    x = 678,740.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.