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Finding the Third Proportional to 349,988 and 749,546

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Solution

The third proportional to 349,988 and 749,546 is: 1,605,252.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,988 : 749,546 = 749,546 : x
  2. Step 2: Convert to fraction form
    349,988/749,546 = 749,546/x
  3. Step 3: Cross multiply
    349,988x = 749,546 × 749,546
  4. Step 4: Simplify right side
    349,988x = 561,819,206,116
  5. Step 5: Solve for x
    x = 561,819,206,116/349,988
  6. Step 6: Final answer
    x = 1,605,252.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.