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Finding the Third Proportional to 328,248 and 706,713

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Solution

The third proportional to 328,248 and 706,713 is: 1,521,542.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,248 : 706,713 = 706,713 : x
  2. Step 2: Convert to fraction form
    328,248/706,713 = 706,713/x
  3. Step 3: Cross multiply
    328,248x = 706,713 × 706,713
  4. Step 4: Simplify right side
    328,248x = 499,443,264,369
  5. Step 5: Solve for x
    x = 499,443,264,369/328,248
  6. Step 6: Final answer
    x = 1,521,542.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.