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Finding the Third Proportional to 343,020 and 752,496

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Solution

The third proportional to 343,020 and 752,496 is: 1,650,779.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,020 : 752,496 = 752,496 : x
  2. Step 2: Convert to fraction form
    343,020/752,496 = 752,496/x
  3. Step 3: Cross multiply
    343,020x = 752,496 × 752,496
  4. Step 4: Simplify right side
    343,020x = 566,250,230,016
  5. Step 5: Solve for x
    x = 566,250,230,016/343,020
  6. Step 6: Final answer
    x = 1,650,779.05

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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.