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Finding the Third Proportional to 328,716 and 707,364

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Solution

The third proportional to 328,716 and 707,364 is: 1,522,176.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,716 : 707,364 = 707,364 : x
  2. Step 2: Convert to fraction form
    328,716/707,364 = 707,364/x
  3. Step 3: Cross multiply
    328,716x = 707,364 × 707,364
  4. Step 4: Simplify right side
    328,716x = 500,363,828,496
  5. Step 5: Solve for x
    x = 500,363,828,496/328,716
  6. Step 6: Final answer
    x = 1,522,176.68

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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.