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Finding the Third Proportional to 249,942 and 539,250

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Solution

The third proportional to 249,942 and 539,250 is: 1,163,432.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,942 : 539,250 = 539,250 : x
  2. Step 2: Convert to fraction form
    249,942/539,250 = 539,250/x
  3. Step 3: Cross multiply
    249,942x = 539,250 × 539,250
  4. Step 4: Simplify right side
    249,942x = 290,790,562,500
  5. Step 5: Solve for x
    x = 290,790,562,500/249,942
  6. Step 6: Final answer
    x = 1,163,432.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.