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Finding the Third Proportional to 328,663 and 690,532

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Solution

The third proportional to 328,663 and 690,532 is: 1,450,830.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,663 : 690,532 = 690,532 : x
  2. Step 2: Convert to fraction form
    328,663/690,532 = 690,532/x
  3. Step 3: Cross multiply
    328,663x = 690,532 × 690,532
  4. Step 4: Simplify right side
    328,663x = 476,834,443,024
  5. Step 5: Solve for x
    x = 476,834,443,024/328,663
  6. Step 6: Final answer
    x = 1,450,830.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.