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Finding the Third Proportional to 343,331 and 745,770

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Solution

The third proportional to 343,331 and 745,770 is: 1,619,932.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,331 : 745,770 = 745,770 : x
  2. Step 2: Convert to fraction form
    343,331/745,770 = 745,770/x
  3. Step 3: Cross multiply
    343,331x = 745,770 × 745,770
  4. Step 4: Simplify right side
    343,331x = 556,172,892,900
  5. Step 5: Solve for x
    x = 556,172,892,900/343,331
  6. Step 6: Final answer
    x = 1,619,932.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.