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Finding the Third Proportional to 269,808 and 592,488

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Solution

The third proportional to 269,808 and 592,488 is: 1,301,080.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,808 : 592,488 = 592,488 : x
  2. Step 2: Convert to fraction form
    269,808/592,488 = 592,488/x
  3. Step 3: Cross multiply
    269,808x = 592,488 × 592,488
  4. Step 4: Simplify right side
    269,808x = 351,042,030,144
  5. Step 5: Solve for x
    x = 351,042,030,144/269,808
  6. Step 6: Final answer
    x = 1,301,080.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.