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Finding the Third Proportional to 249,486 and 533,964

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Solution

The third proportional to 249,486 and 533,964 is: 1,142,819.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,486 : 533,964 = 533,964 : x
  2. Step 2: Convert to fraction form
    249,486/533,964 = 533,964/x
  3. Step 3: Cross multiply
    249,486x = 533,964 × 533,964
  4. Step 4: Simplify right side
    249,486x = 285,117,553,296
  5. Step 5: Solve for x
    x = 285,117,553,296/249,486
  6. Step 6: Final answer
    x = 1,142,819.85

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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.