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Finding the Third Proportional to 359,586 and 788,292

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Solution

The third proportional to 359,586 and 788,292 is: 1,728,110.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,586 : 788,292 = 788,292 : x
  2. Step 2: Convert to fraction form
    359,586/788,292 = 788,292/x
  3. Step 3: Cross multiply
    359,586x = 788,292 × 788,292
  4. Step 4: Simplify right side
    359,586x = 621,404,277,264
  5. Step 5: Solve for x
    x = 621,404,277,264/359,586
  6. Step 6: Final answer
    x = 1,728,110.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.