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Finding the Third Proportional to 349,340 and 754,460

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Solution

The third proportional to 349,340 and 754,460 is: 1,629,386.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,340 : 754,460 = 754,460 : x
  2. Step 2: Convert to fraction form
    349,340/754,460 = 754,460/x
  3. Step 3: Cross multiply
    349,340x = 754,460 × 754,460
  4. Step 4: Simplify right side
    349,340x = 569,209,891,600
  5. Step 5: Solve for x
    x = 569,209,891,600/349,340
  6. Step 6: Final answer
    x = 1,629,386.53

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Why These Related Problems?

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