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Finding the Third Proportional to 375,446 and 777,507

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Solution

The third proportional to 375,446 and 777,507 is: 1,610,130.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,446 : 777,507 = 777,507 : x
  2. Step 2: Convert to fraction form
    375,446/777,507 = 777,507/x
  3. Step 3: Cross multiply
    375,446x = 777,507 × 777,507
  4. Step 4: Simplify right side
    375,446x = 604,517,135,049
  5. Step 5: Solve for x
    x = 604,517,135,049/375,446
  6. Step 6: Final answer
    x = 1,610,130.71

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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.