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Finding the Third Proportional to 375,078 and 809,340

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Solution

The third proportional to 375,078 and 809,340 is: 1,746,386.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,078 : 809,340 = 809,340 : x
  2. Step 2: Convert to fraction form
    375,078/809,340 = 809,340/x
  3. Step 3: Cross multiply
    375,078x = 809,340 × 809,340
  4. Step 4: Simplify right side
    375,078x = 655,031,235,600
  5. Step 5: Solve for x
    x = 655,031,235,600/375,078
  6. Step 6: Final answer
    x = 1,746,386.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.