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Finding the Third Proportional to 328,168 and 715,632

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Solution

The third proportional to 328,168 and 715,632 is: 1,560,570.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,168 : 715,632 = 715,632 : x
  2. Step 2: Convert to fraction form
    328,168/715,632 = 715,632/x
  3. Step 3: Cross multiply
    328,168x = 715,632 × 715,632
  4. Step 4: Simplify right side
    328,168x = 512,129,159,424
  5. Step 5: Solve for x
    x = 512,129,159,424/328,168
  6. Step 6: Final answer
    x = 1,560,570.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.