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Finding the Third Proportional to 359,871 and 775,038

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Solution

The third proportional to 359,871 and 775,038 is: 1,669,164.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,871 : 775,038 = 775,038 : x
  2. Step 2: Convert to fraction form
    359,871/775,038 = 775,038/x
  3. Step 3: Cross multiply
    359,871x = 775,038 × 775,038
  4. Step 4: Simplify right side
    359,871x = 600,683,901,444
  5. Step 5: Solve for x
    x = 600,683,901,444/359,871
  6. Step 6: Final answer
    x = 1,669,164.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.