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Finding the Third Proportional to 375,018 and 763,962

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Solution

The third proportional to 375,018 and 763,962 is: 1,556,293.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,018 : 763,962 = 763,962 : x
  2. Step 2: Convert to fraction form
    375,018/763,962 = 763,962/x
  3. Step 3: Cross multiply
    375,018x = 763,962 × 763,962
  4. Step 4: Simplify right side
    375,018x = 583,637,937,444
  5. Step 5: Solve for x
    x = 583,637,937,444/375,018
  6. Step 6: Final answer
    x = 1,556,293.13

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.