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Finding the Third Proportional to 488,818 and 752,200

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Solution

The third proportional to 488,818 and 752,200 is: 1,157,495.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,818 : 752,200 = 752,200 : x
  2. Step 2: Convert to fraction form
    488,818/752,200 = 752,200/x
  3. Step 3: Cross multiply
    488,818x = 752,200 × 752,200
  4. Step 4: Simplify right side
    488,818x = 565,804,840,000
  5. Step 5: Solve for x
    x = 565,804,840,000/488,818
  6. Step 6: Final answer
    x = 1,157,495.92

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.