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Finding the Third Proportional to 328,662 and 707,130

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Solution

The third proportional to 328,662 and 707,130 is: 1,521,419.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,662 : 707,130 = 707,130 : x
  2. Step 2: Convert to fraction form
    328,662/707,130 = 707,130/x
  3. Step 3: Cross multiply
    328,662x = 707,130 × 707,130
  4. Step 4: Simplify right side
    328,662x = 500,032,836,900
  5. Step 5: Solve for x
    x = 500,032,836,900/328,662
  6. Step 6: Final answer
    x = 1,521,419.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.