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Finding the Third Proportional to 301,532.63 and 466,468.88

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Solution

The third proportional to 301,532.63 and 466,468.88 is: 721,624.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,532.63 : 466,468.88 = 466,468.88 : x
  2. Step 2: Convert to fraction form
    301,532.63/466,468.88 = 466,468.88/x
  3. Step 3: Cross multiply
    301,532.63x = 466,468.88 × 466,468.88
  4. Step 4: Simplify right side
    301,532.63x = 217,593,211,343.77
  5. Step 5: Solve for x
    x = 217,593,211,343.77/301,532.63
  6. Step 6: Final answer
    x = 721,624.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.