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Finding the Third Proportional to 249,939 and 541,410

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Solution

The third proportional to 249,939 and 541,410 is: 1,172,785.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,939 : 541,410 = 541,410 : x
  2. Step 2: Convert to fraction form
    249,939/541,410 = 541,410/x
  3. Step 3: Cross multiply
    249,939x = 541,410 × 541,410
  4. Step 4: Simplify right side
    249,939x = 293,124,788,100
  5. Step 5: Solve for x
    x = 293,124,788,100/249,939
  6. Step 6: Final answer
    x = 1,172,785.31

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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.