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Finding the Third Proportional to 359,523 and 783,396

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Solution

The third proportional to 359,523 and 783,396 is: 1,707,009.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,523 : 783,396 = 783,396 : x
  2. Step 2: Convert to fraction form
    359,523/783,396 = 783,396/x
  3. Step 3: Cross multiply
    359,523x = 783,396 × 783,396
  4. Step 4: Simplify right side
    359,523x = 613,709,292,816
  5. Step 5: Solve for x
    x = 613,709,292,816/359,523
  6. Step 6: Final answer
    x = 1,707,009.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.