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Finding the Third Proportional to 328,338 and 709,060

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Solution

The third proportional to 328,338 and 709,060 is: 1,531,245.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,338 : 709,060 = 709,060 : x
  2. Step 2: Convert to fraction form
    328,338/709,060 = 709,060/x
  3. Step 3: Cross multiply
    328,338x = 709,060 × 709,060
  4. Step 4: Simplify right side
    328,338x = 502,766,083,600
  5. Step 5: Solve for x
    x = 502,766,083,600/328,338
  6. Step 6: Final answer
    x = 1,531,245.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.