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Finding the Third Proportional to 314,092 and 690,388

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Solution

The third proportional to 314,092 and 690,388 is: 1,517,503.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,092 : 690,388 = 690,388 : x
  2. Step 2: Convert to fraction form
    314,092/690,388 = 690,388/x
  3. Step 3: Cross multiply
    314,092x = 690,388 × 690,388
  4. Step 4: Simplify right side
    314,092x = 476,635,590,544
  5. Step 5: Solve for x
    x = 476,635,590,544/314,092
  6. Step 6: Final answer
    x = 1,517,503.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.