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Finding the Third Proportional to 349,488 and 749,952

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Solution

The third proportional to 349,488 and 749,952 is: 1,609,291.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,488 : 749,952 = 749,952 : x
  2. Step 2: Convert to fraction form
    349,488/749,952 = 749,952/x
  3. Step 3: Cross multiply
    349,488x = 749,952 × 749,952
  4. Step 4: Simplify right side
    349,488x = 562,428,002,304
  5. Step 5: Solve for x
    x = 562,428,002,304/349,488
  6. Step 6: Final answer
    x = 1,609,291.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.