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Finding the Third Proportional to 488,311.50 and 746,541

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Solution

The third proportional to 488,311.50 and 746,541 is: 1,141,327.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,311.50 : 746,541 = 746,541 : x
  2. Step 2: Convert to fraction form
    488,311.50/746,541 = 746,541/x
  3. Step 3: Cross multiply
    488,311.50x = 746,541 × 746,541
  4. Step 4: Simplify right side
    488,311.50x = 557,323,464,681
  5. Step 5: Solve for x
    x = 557,323,464,681/488,311.50
  6. Step 6: Final answer
    x = 1,141,327.75

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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.