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Finding the Third Proportional to 488,160 and 755,795.25

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Solution

The third proportional to 488,160 and 755,795.25 is: 1,170,162.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,160 : 755,795.25 = 755,795.25 : x
  2. Step 2: Convert to fraction form
    488,160/755,795.25 = 755,795.25/x
  3. Step 3: Cross multiply
    488,160x = 755,795.25 × 755,795.25
  4. Step 4: Simplify right side
    488,160x = 571,226,459,922.56
  5. Step 5: Solve for x
    x = 571,226,459,922.56/488,160
  6. Step 6: Final answer
    x = 1,170,162.36

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