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Finding the Third Proportional to 249,434 and 545,448

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Solution

The third proportional to 249,434 and 545,448 is: 1,192,754.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,434 : 545,448 = 545,448 : x
  2. Step 2: Convert to fraction form
    249,434/545,448 = 545,448/x
  3. Step 3: Cross multiply
    249,434x = 545,448 × 545,448
  4. Step 4: Simplify right side
    249,434x = 297,513,520,704
  5. Step 5: Solve for x
    x = 297,513,520,704/249,434
  6. Step 6: Final answer
    x = 1,192,754.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.