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Finding the Third Proportional to 322,920 and 707,154

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Solution

The third proportional to 322,920 and 707,154 is: 1,548,577.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,920 : 707,154 = 707,154 : x
  2. Step 2: Convert to fraction form
    322,920/707,154 = 707,154/x
  3. Step 3: Cross multiply
    322,920x = 707,154 × 707,154
  4. Step 4: Simplify right side
    322,920x = 500,066,779,716
  5. Step 5: Solve for x
    x = 500,066,779,716/322,920
  6. Step 6: Final answer
    x = 1,548,577.91

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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.