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Finding the Third Proportional to 359,862 and 774,210

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Solution

The third proportional to 359,862 and 774,210 is: 1,665,641.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,862 : 774,210 = 774,210 : x
  2. Step 2: Convert to fraction form
    359,862/774,210 = 774,210/x
  3. Step 3: Cross multiply
    359,862x = 774,210 × 774,210
  4. Step 4: Simplify right side
    359,862x = 599,401,124,100
  5. Step 5: Solve for x
    x = 599,401,124,100/359,862
  6. Step 6: Final answer
    x = 1,665,641.62

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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.