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Finding the Third Proportional to 210,744 and 402,048

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Solution

The third proportional to 210,744 and 402,048 is: 767,009.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,744 : 402,048 = 402,048 : x
  2. Step 2: Convert to fraction form
    210,744/402,048 = 402,048/x
  3. Step 3: Cross multiply
    210,744x = 402,048 × 402,048
  4. Step 4: Simplify right side
    210,744x = 161,642,594,304
  5. Step 5: Solve for x
    x = 161,642,594,304/210,744
  6. Step 6: Final answer
    x = 767,009.24

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.