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Finding the Third Proportional to 301,032 and 466,375.50

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Solution

The third proportional to 301,032 and 466,375.50 is: 722,534.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,032 : 466,375.50 = 466,375.50 : x
  2. Step 2: Convert to fraction form
    301,032/466,375.50 = 466,375.50/x
  3. Step 3: Cross multiply
    301,032x = 466,375.50 × 466,375.50
  4. Step 4: Simplify right side
    301,032x = 217,506,107,000.25
  5. Step 5: Solve for x
    x = 217,506,107,000.25/301,032
  6. Step 6: Final answer
    x = 722,534.84

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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.