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Finding the Third Proportional to 328,696 and 709,772

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Solution

The third proportional to 328,696 and 709,772 is: 1,532,651.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,696 : 709,772 = 709,772 : x
  2. Step 2: Convert to fraction form
    328,696/709,772 = 709,772/x
  3. Step 3: Cross multiply
    328,696x = 709,772 × 709,772
  4. Step 4: Simplify right side
    328,696x = 503,776,291,984
  5. Step 5: Solve for x
    x = 503,776,291,984/328,696
  6. Step 6: Final answer
    x = 1,532,651.12

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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.