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Finding the Third Proportional to 249,943 and 536,822

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Solution

The third proportional to 249,943 and 536,822 is: 1,152,974.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,943 : 536,822 = 536,822 : x
  2. Step 2: Convert to fraction form
    249,943/536,822 = 536,822/x
  3. Step 3: Cross multiply
    249,943x = 536,822 × 536,822
  4. Step 4: Simplify right side
    249,943x = 288,177,859,684
  5. Step 5: Solve for x
    x = 288,177,859,684/249,943
  6. Step 6: Final answer
    x = 1,152,974.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.