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Finding the Third Proportional to 375,433 and 777,481

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Solution

The third proportional to 375,433 and 777,481 is: 1,610,078.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,433 : 777,481 = 777,481 : x
  2. Step 2: Convert to fraction form
    375,433/777,481 = 777,481/x
  3. Step 3: Cross multiply
    375,433x = 777,481 × 777,481
  4. Step 4: Simplify right side
    375,433x = 604,476,705,361
  5. Step 5: Solve for x
    x = 604,476,705,361/375,433
  6. Step 6: Final answer
    x = 1,610,078.78

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.