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Finding the Third Proportional to 249,418 and 545,492

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Solution

The third proportional to 249,418 and 545,492 is: 1,193,023.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,418 : 545,492 = 545,492 : x
  2. Step 2: Convert to fraction form
    249,418/545,492 = 545,492/x
  3. Step 3: Cross multiply
    249,418x = 545,492 × 545,492
  4. Step 4: Simplify right side
    249,418x = 297,561,522,064
  5. Step 5: Solve for x
    x = 297,561,522,064/249,418
  6. Step 6: Final answer
    x = 1,193,023.45

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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.