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Finding the Third Proportional to 249,656 and 534,304

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Solution

The third proportional to 249,656 and 534,304 is: 1,143,496.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,656 : 534,304 = 534,304 : x
  2. Step 2: Convert to fraction form
    249,656/534,304 = 534,304/x
  3. Step 3: Cross multiply
    249,656x = 534,304 × 534,304
  4. Step 4: Simplify right side
    249,656x = 285,480,764,416
  5. Step 5: Solve for x
    x = 285,480,764,416/249,656
  6. Step 6: Final answer
    x = 1,143,496.51

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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.