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Finding the Third Proportional to 375,291 and 765,864

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Solution

The third proportional to 375,291 and 765,864 is: 1,562,914.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,291 : 765,864 = 765,864 : x
  2. Step 2: Convert to fraction form
    375,291/765,864 = 765,864/x
  3. Step 3: Cross multiply
    375,291x = 765,864 × 765,864
  4. Step 4: Simplify right side
    375,291x = 586,547,666,496
  5. Step 5: Solve for x
    x = 586,547,666,496/375,291
  6. Step 6: Final answer
    x = 1,562,914.29

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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.