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Finding the Third Proportional to 359,742 and 777,114

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Solution

The third proportional to 359,742 and 777,114 is: 1,678,720.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,742 : 777,114 = 777,114 : x
  2. Step 2: Convert to fraction form
    359,742/777,114 = 777,114/x
  3. Step 3: Cross multiply
    359,742x = 777,114 × 777,114
  4. Step 4: Simplify right side
    359,742x = 603,906,168,996
  5. Step 5: Solve for x
    x = 603,906,168,996/359,742
  6. Step 6: Final answer
    x = 1,678,720.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.