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Finding the Third Proportional to 349,350 and 754,480

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Solution

The third proportional to 349,350 and 754,480 is: 1,629,426.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,350 : 754,480 = 754,480 : x
  2. Step 2: Convert to fraction form
    349,350/754,480 = 754,480/x
  3. Step 3: Cross multiply
    349,350x = 754,480 × 754,480
  4. Step 4: Simplify right side
    349,350x = 569,240,070,400
  5. Step 5: Solve for x
    x = 569,240,070,400/349,350
  6. Step 6: Final answer
    x = 1,629,426.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.