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Finding the Third Proportional to 249,548 and 541,132

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Solution

The third proportional to 249,548 and 541,132 is: 1,173,416.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,548 : 541,132 = 541,132 : x
  2. Step 2: Convert to fraction form
    249,548/541,132 = 541,132/x
  3. Step 3: Cross multiply
    249,548x = 541,132 × 541,132
  4. Step 4: Simplify right side
    249,548x = 292,823,841,424
  5. Step 5: Solve for x
    x = 292,823,841,424/249,548
  6. Step 6: Final answer
    x = 1,173,416.90

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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.