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Finding the Third Proportional to 323,184 and 707,928

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Solution

The third proportional to 323,184 and 707,928 is: 1,550,701.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,184 : 707,928 = 707,928 : x
  2. Step 2: Convert to fraction form
    323,184/707,928 = 707,928/x
  3. Step 3: Cross multiply
    323,184x = 707,928 × 707,928
  4. Step 4: Simplify right side
    323,184x = 501,162,053,184
  5. Step 5: Solve for x
    x = 501,162,053,184/323,184
  6. Step 6: Final answer
    x = 1,550,701.93

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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.