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Finding the Third Proportional to 291,120 and 462,924

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Solution

The third proportional to 291,120 and 462,924 is: 736,117.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,120 : 462,924 = 462,924 : x
  2. Step 2: Convert to fraction form
    291,120/462,924 = 462,924/x
  3. Step 3: Cross multiply
    291,120x = 462,924 × 462,924
  4. Step 4: Simplify right side
    291,120x = 214,298,629,776
  5. Step 5: Solve for x
    x = 214,298,629,776/291,120
  6. Step 6: Final answer
    x = 736,117.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.