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Finding the Third Proportional to 240,822 and 375,020

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Solution

The third proportional to 240,822 and 375,020 is: 583,999.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,822 : 375,020 = 375,020 : x
  2. Step 2: Convert to fraction form
    240,822/375,020 = 375,020/x
  3. Step 3: Cross multiply
    240,822x = 375,020 × 375,020
  4. Step 4: Simplify right side
    240,822x = 140,640,000,400
  5. Step 5: Solve for x
    x = 140,640,000,400/240,822
  6. Step 6: Final answer
    x = 583,999.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.