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Finding the Third Proportional to 328,306 and 705,653

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Solution

The third proportional to 328,306 and 705,653 is: 1,516,713.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,306 : 705,653 = 705,653 : x
  2. Step 2: Convert to fraction form
    328,306/705,653 = 705,653/x
  3. Step 3: Cross multiply
    328,306x = 705,653 × 705,653
  4. Step 4: Simplify right side
    328,306x = 497,946,156,409
  5. Step 5: Solve for x
    x = 497,946,156,409/328,306
  6. Step 6: Final answer
    x = 1,516,713.54

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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.