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Finding the Third Proportional to 269,140 and 576,904

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Solution

The third proportional to 269,140 and 576,904 is: 1,236,598.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,140 : 576,904 = 576,904 : x
  2. Step 2: Convert to fraction form
    269,140/576,904 = 576,904/x
  3. Step 3: Cross multiply
    269,140x = 576,904 × 576,904
  4. Step 4: Simplify right side
    269,140x = 332,818,225,216
  5. Step 5: Solve for x
    x = 332,818,225,216/269,140
  6. Step 6: Final answer
    x = 1,236,598.89

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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.