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Finding the Third Proportional to 345,704 and 750,424

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Solution

The third proportional to 345,704 and 750,424 is: 1,628,954.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,704 : 750,424 = 750,424 : x
  2. Step 2: Convert to fraction form
    345,704/750,424 = 750,424/x
  3. Step 3: Cross multiply
    345,704x = 750,424 × 750,424
  4. Step 4: Simplify right side
    345,704x = 563,136,179,776
  5. Step 5: Solve for x
    x = 563,136,179,776/345,704
  6. Step 6: Final answer
    x = 1,628,954.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.