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Finding the Third Proportional to 249,314 and 533,600

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Solution

The third proportional to 249,314 and 533,600 is: 1,142,049.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,314 : 533,600 = 533,600 : x
  2. Step 2: Convert to fraction form
    249,314/533,600 = 533,600/x
  3. Step 3: Cross multiply
    249,314x = 533,600 × 533,600
  4. Step 4: Simplify right side
    249,314x = 284,728,960,000
  5. Step 5: Solve for x
    x = 284,728,960,000/249,314
  6. Step 6: Final answer
    x = 1,142,049.62

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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.