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Finding the Third Proportional to 249,539 and 541,117

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Solution

The third proportional to 249,539 and 541,117 is: 1,173,394.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,539 : 541,117 = 541,117 : x
  2. Step 2: Convert to fraction form
    249,539/541,117 = 541,117/x
  3. Step 3: Cross multiply
    249,539x = 541,117 × 541,117
  4. Step 4: Simplify right side
    249,539x = 292,807,607,689
  5. Step 5: Solve for x
    x = 292,807,607,689/249,539
  6. Step 6: Final answer
    x = 1,173,394.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.