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Finding the Third Proportional to 375,124 and 814,328

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Solution

The third proportional to 375,124 and 814,328 is: 1,767,762.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,124 : 814,328 = 814,328 : x
  2. Step 2: Convert to fraction form
    375,124/814,328 = 814,328/x
  3. Step 3: Cross multiply
    375,124x = 814,328 × 814,328
  4. Step 4: Simplify right side
    375,124x = 663,130,091,584
  5. Step 5: Solve for x
    x = 663,130,091,584/375,124
  6. Step 6: Final answer
    x = 1,767,762.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.