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Finding the Third Proportional to 353,507 and 763,048

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Solution

The third proportional to 353,507 and 763,048 is: 1,647,045.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,507 : 763,048 = 763,048 : x
  2. Step 2: Convert to fraction form
    353,507/763,048 = 763,048/x
  3. Step 3: Cross multiply
    353,507x = 763,048 × 763,048
  4. Step 4: Simplify right side
    353,507x = 582,242,250,304
  5. Step 5: Solve for x
    x = 582,242,250,304/353,507
  6. Step 6: Final answer
    x = 1,647,045.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.