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Finding the Third Proportional to 249,364 and 533,744

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Solution

The third proportional to 249,364 and 533,744 is: 1,142,436.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,364 : 533,744 = 533,744 : x
  2. Step 2: Convert to fraction form
    249,364/533,744 = 533,744/x
  3. Step 3: Cross multiply
    249,364x = 533,744 × 533,744
  4. Step 4: Simplify right side
    249,364x = 284,882,657,536
  5. Step 5: Solve for x
    x = 284,882,657,536/249,364
  6. Step 6: Final answer
    x = 1,142,436.99

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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.