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Finding the Third Proportional to 369,612 and 777,860

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Solution

The third proportional to 369,612 and 777,860 is: 1,637,030.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,612 : 777,860 = 777,860 : x
  2. Step 2: Convert to fraction form
    369,612/777,860 = 777,860/x
  3. Step 3: Cross multiply
    369,612x = 777,860 × 777,860
  4. Step 4: Simplify right side
    369,612x = 605,066,179,600
  5. Step 5: Solve for x
    x = 605,066,179,600/369,612
  6. Step 6: Final answer
    x = 1,637,030.67

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.