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Finding the Third Proportional to 249,417 and 545,418

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Solution

The third proportional to 249,417 and 545,418 is: 1,192,704.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,417 : 545,418 = 545,418 : x
  2. Step 2: Convert to fraction form
    249,417/545,418 = 545,418/x
  3. Step 3: Cross multiply
    249,417x = 545,418 × 545,418
  4. Step 4: Simplify right side
    249,417x = 297,480,794,724
  5. Step 5: Solve for x
    x = 297,480,794,724/249,417
  6. Step 6: Final answer
    x = 1,192,704.57

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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.