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Finding the Third Proportional to 359,894 and 787,586

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Solution

The third proportional to 359,894 and 787,586 is: 1,723,540.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,894 : 787,586 = 787,586 : x
  2. Step 2: Convert to fraction form
    359,894/787,586 = 787,586/x
  3. Step 3: Cross multiply
    359,894x = 787,586 × 787,586
  4. Step 4: Simplify right side
    359,894x = 620,291,707,396
  5. Step 5: Solve for x
    x = 620,291,707,396/359,894
  6. Step 6: Final answer
    x = 1,723,540.01

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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.