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Finding the Third Proportional to 328,372 and 709,232

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Solution

The third proportional to 328,372 and 709,232 is: 1,531,829.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,372 : 709,232 = 709,232 : x
  2. Step 2: Convert to fraction form
    328,372/709,232 = 709,232/x
  3. Step 3: Cross multiply
    328,372x = 709,232 × 709,232
  4. Step 4: Simplify right side
    328,372x = 503,010,029,824
  5. Step 5: Solve for x
    x = 503,010,029,824/328,372
  6. Step 6: Final answer
    x = 1,531,829.84

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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.