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Finding the Third Proportional to 343,425 and 752,460

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Solution

The third proportional to 343,425 and 752,460 is: 1,648,674.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,425 : 752,460 = 752,460 : x
  2. Step 2: Convert to fraction form
    343,425/752,460 = 752,460/x
  3. Step 3: Cross multiply
    343,425x = 752,460 × 752,460
  4. Step 4: Simplify right side
    343,425x = 566,196,051,600
  5. Step 5: Solve for x
    x = 566,196,051,600/343,425
  6. Step 6: Final answer
    x = 1,648,674.53

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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.