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Finding the Third Proportional to 249,664 and 534,320

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Solution

The third proportional to 249,664 and 534,320 is: 1,143,528.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,664 : 534,320 = 534,320 : x
  2. Step 2: Convert to fraction form
    249,664/534,320 = 534,320/x
  3. Step 3: Cross multiply
    249,664x = 534,320 × 534,320
  4. Step 4: Simplify right side
    249,664x = 285,497,862,400
  5. Step 5: Solve for x
    x = 285,497,862,400/249,664
  6. Step 6: Final answer
    x = 1,143,528.35

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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.