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Finding the Third Proportional to 359,343 and 778,491

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Solution

The third proportional to 359,343 and 778,491 is: 1,686,545.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,343 : 778,491 = 778,491 : x
  2. Step 2: Convert to fraction form
    359,343/778,491 = 778,491/x
  3. Step 3: Cross multiply
    359,343x = 778,491 × 778,491
  4. Step 4: Simplify right side
    359,343x = 606,048,237,081
  5. Step 5: Solve for x
    x = 606,048,237,081/359,343
  6. Step 6: Final answer
    x = 1,686,545.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.