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Finding the Third Proportional to 375,310 and 765,900

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Solution

The third proportional to 375,310 and 765,900 is: 1,562,982.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,310 : 765,900 = 765,900 : x
  2. Step 2: Convert to fraction form
    375,310/765,900 = 765,900/x
  3. Step 3: Cross multiply
    375,310x = 765,900 × 765,900
  4. Step 4: Simplify right side
    375,310x = 586,602,810,000
  5. Step 5: Solve for x
    x = 586,602,810,000/375,310
  6. Step 6: Final answer
    x = 1,562,982.09

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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.