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Finding the Third Proportional to 318,039 and 466,366.50

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Solution

The third proportional to 318,039 and 466,366.50 is: 683,871.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,039 : 466,366.50 = 466,366.50 : x
  2. Step 2: Convert to fraction form
    318,039/466,366.50 = 466,366.50/x
  3. Step 3: Cross multiply
    318,039x = 466,366.50 × 466,366.50
  4. Step 4: Simplify right side
    318,039x = 217,497,712,322.25
  5. Step 5: Solve for x
    x = 217,497,712,322.25/318,039
  6. Step 6: Final answer
    x = 683,871.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.