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Finding the Third Proportional to 349,428 and 744,612

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Solution

The third proportional to 349,428 and 744,612 is: 1,586,727.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,428 : 744,612 = 744,612 : x
  2. Step 2: Convert to fraction form
    349,428/744,612 = 744,612/x
  3. Step 3: Cross multiply
    349,428x = 744,612 × 744,612
  4. Step 4: Simplify right side
    349,428x = 554,447,030,544
  5. Step 5: Solve for x
    x = 554,447,030,544/349,428
  6. Step 6: Final answer
    x = 1,586,727.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.