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Finding the Third Proportional to 343,415 and 752,440

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Solution

The third proportional to 343,415 and 752,440 is: 1,648,634.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,415 : 752,440 = 752,440 : x
  2. Step 2: Convert to fraction form
    343,415/752,440 = 752,440/x
  3. Step 3: Cross multiply
    343,415x = 752,440 × 752,440
  4. Step 4: Simplify right side
    343,415x = 566,165,953,600
  5. Step 5: Solve for x
    x = 566,165,953,600/343,415
  6. Step 6: Final answer
    x = 1,648,634.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.