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Finding the Third Proportional to 359,820 and 528,059

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Solution

The third proportional to 359,820 and 528,059 is: 774,960.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,820 : 528,059 = 528,059 : x
  2. Step 2: Convert to fraction form
    359,820/528,059 = 528,059/x
  3. Step 3: Cross multiply
    359,820x = 528,059 × 528,059
  4. Step 4: Simplify right side
    359,820x = 278,846,307,481
  5. Step 5: Solve for x
    x = 278,846,307,481/359,820
  6. Step 6: Final answer
    x = 774,960.56

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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.