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Finding the Third Proportional to 321,948 and 707,328

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Solution

The third proportional to 321,948 and 707,328 is: 1,554,017.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,948 : 707,328 = 707,328 : x
  2. Step 2: Convert to fraction form
    321,948/707,328 = 707,328/x
  3. Step 3: Cross multiply
    321,948x = 707,328 × 707,328
  4. Step 4: Simplify right side
    321,948x = 500,312,899,584
  5. Step 5: Solve for x
    x = 500,312,899,584/321,948
  6. Step 6: Final answer
    x = 1,554,017.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.