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Finding the Third Proportional to 359,810 and 528,051

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Solution

The third proportional to 359,810 and 528,051 is: 774,958.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,810 : 528,051 = 528,051 : x
  2. Step 2: Convert to fraction form
    359,810/528,051 = 528,051/x
  3. Step 3: Cross multiply
    359,810x = 528,051 × 528,051
  4. Step 4: Simplify right side
    359,810x = 278,837,858,601
  5. Step 5: Solve for x
    x = 278,837,858,601/359,810
  6. Step 6: Final answer
    x = 774,958.61

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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.