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Finding the Third Proportional to 359,832 and 528,072

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Solution

The third proportional to 359,832 and 528,072 is: 774,972.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,832 : 528,072 = 528,072 : x
  2. Step 2: Convert to fraction form
    359,832/528,072 = 528,072/x
  3. Step 3: Cross multiply
    359,832x = 528,072 × 528,072
  4. Step 4: Simplify right side
    359,832x = 278,860,037,184
  5. Step 5: Solve for x
    x = 278,860,037,184/359,832
  6. Step 6: Final answer
    x = 774,972.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.