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Finding the Third Proportional to 249,564 and 534,856

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Solution

The third proportional to 249,564 and 534,856 is: 1,146,282.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,564 : 534,856 = 534,856 : x
  2. Step 2: Convert to fraction form
    249,564/534,856 = 534,856/x
  3. Step 3: Cross multiply
    249,564x = 534,856 × 534,856
  4. Step 4: Simplify right side
    249,564x = 286,070,940,736
  5. Step 5: Solve for x
    x = 286,070,940,736/249,564
  6. Step 6: Final answer
    x = 1,146,282.88

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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.