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Finding the Third Proportional to 288,154 and 462,986

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Solution

The third proportional to 288,154 and 462,986 is: 743,894.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,154 : 462,986 = 462,986 : x
  2. Step 2: Convert to fraction form
    288,154/462,986 = 462,986/x
  3. Step 3: Cross multiply
    288,154x = 462,986 × 462,986
  4. Step 4: Simplify right side
    288,154x = 214,356,036,196
  5. Step 5: Solve for x
    x = 214,356,036,196/288,154
  6. Step 6: Final answer
    x = 743,894.02

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.