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Finding the Third Proportional to 252,488 and 539,968

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Solution

The third proportional to 252,488 and 539,968 is: 1,154,769.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,488 : 539,968 = 539,968 : x
  2. Step 2: Convert to fraction form
    252,488/539,968 = 539,968/x
  3. Step 3: Cross multiply
    252,488x = 539,968 × 539,968
  4. Step 4: Simplify right side
    252,488x = 291,565,441,024
  5. Step 5: Solve for x
    x = 291,565,441,024/252,488
  6. Step 6: Final answer
    x = 1,154,769.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.