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Finding the Third Proportional to 359,838 and 528,092

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Solution

The third proportional to 359,838 and 528,092 is: 775,018.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,838 : 528,092 = 528,092 : x
  2. Step 2: Convert to fraction form
    359,838/528,092 = 528,092/x
  3. Step 3: Cross multiply
    359,838x = 528,092 × 528,092
  4. Step 4: Simplify right side
    359,838x = 278,881,160,464
  5. Step 5: Solve for x
    x = 278,881,160,464/359,838
  6. Step 6: Final answer
    x = 775,018.65

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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.