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Finding the Third Proportional to 249,937 and 536,809

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Solution

The third proportional to 249,937 and 536,809 is: 1,152,946.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,937 : 536,809 = 536,809 : x
  2. Step 2: Convert to fraction form
    249,937/536,809 = 536,809/x
  3. Step 3: Cross multiply
    249,937x = 536,809 × 536,809
  4. Step 4: Simplify right side
    249,937x = 288,163,902,481
  5. Step 5: Solve for x
    x = 288,163,902,481/249,937
  6. Step 6: Final answer
    x = 1,152,946.15

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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.