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Finding the Third Proportional to 349,998 and 747,972

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Solution

The third proportional to 349,998 and 747,972 is: 1,598,472.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,998 : 747,972 = 747,972 : x
  2. Step 2: Convert to fraction form
    349,998/747,972 = 747,972/x
  3. Step 3: Cross multiply
    349,998x = 747,972 × 747,972
  4. Step 4: Simplify right side
    349,998x = 559,462,112,784
  5. Step 5: Solve for x
    x = 559,462,112,784/349,998
  6. Step 6: Final answer
    x = 1,598,472.31

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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.