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Finding the Third Proportional to 249,350 and 534,420

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Solution

The third proportional to 249,350 and 534,420 is: 1,145,396.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,350 : 534,420 = 534,420 : x
  2. Step 2: Convert to fraction form
    249,350/534,420 = 534,420/x
  3. Step 3: Cross multiply
    249,350x = 534,420 × 534,420
  4. Step 4: Simplify right side
    249,350x = 285,604,736,400
  5. Step 5: Solve for x
    x = 285,604,736,400/249,350
  6. Step 6: Final answer
    x = 1,145,396.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.