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Finding the Third Proportional to 249,332 and 513,367

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Solution

The third proportional to 249,332 and 513,367 is: 1,057,007.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,332 : 513,367 = 513,367 : x
  2. Step 2: Convert to fraction form
    249,332/513,367 = 513,367/x
  3. Step 3: Cross multiply
    249,332x = 513,367 × 513,367
  4. Step 4: Simplify right side
    249,332x = 263,545,676,689
  5. Step 5: Solve for x
    x = 263,545,676,689/249,332
  6. Step 6: Final answer
    x = 1,057,007.03

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.