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Finding the Third Proportional to 359,038 and 777,914

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Solution

The third proportional to 359,038 and 777,914 is: 1,685,476.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,038 : 777,914 = 777,914 : x
  2. Step 2: Convert to fraction form
    359,038/777,914 = 777,914/x
  3. Step 3: Cross multiply
    359,038x = 777,914 × 777,914
  4. Step 4: Simplify right side
    359,038x = 605,150,191,396
  5. Step 5: Solve for x
    x = 605,150,191,396/359,038
  6. Step 6: Final answer
    x = 1,685,476.72

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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.