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Finding the Third Proportional to 249,492 and 541,631

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Solution

The third proportional to 249,492 and 541,631 is: 1,175,845.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,492 : 541,631 = 541,631 : x
  2. Step 2: Convert to fraction form
    249,492/541,631 = 541,631/x
  3. Step 3: Cross multiply
    249,492x = 541,631 × 541,631
  4. Step 4: Simplify right side
    249,492x = 293,364,140,161
  5. Step 5: Solve for x
    x = 293,364,140,161/249,492
  6. Step 6: Final answer
    x = 1,175,845.88

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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.