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Finding the Third Proportional to 375,308 and 765,896

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Solution

The third proportional to 375,308 and 765,896 is: 1,562,974.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,308 : 765,896 = 765,896 : x
  2. Step 2: Convert to fraction form
    375,308/765,896 = 765,896/x
  3. Step 3: Cross multiply
    375,308x = 765,896 × 765,896
  4. Step 4: Simplify right side
    375,308x = 586,596,682,816
  5. Step 5: Solve for x
    x = 586,596,682,816/375,308
  6. Step 6: Final answer
    x = 1,562,974.10

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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.