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Finding the Third Proportional to 240,482 and 353,811

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Solution

The third proportional to 240,482 and 353,811 is: 520,547.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,482 : 353,811 = 353,811 : x
  2. Step 2: Convert to fraction form
    240,482/353,811 = 353,811/x
  3. Step 3: Cross multiply
    240,482x = 353,811 × 353,811
  4. Step 4: Simplify right side
    240,482x = 125,182,223,721
  5. Step 5: Solve for x
    x = 125,182,223,721/240,482
  6. Step 6: Final answer
    x = 520,547.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.