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Finding the Third Proportional to 369,305 and 803,314

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Solution

The third proportional to 369,305 and 803,314 is: 1,747,372.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,305 : 803,314 = 803,314 : x
  2. Step 2: Convert to fraction form
    369,305/803,314 = 803,314/x
  3. Step 3: Cross multiply
    369,305x = 803,314 × 803,314
  4. Step 4: Simplify right side
    369,305x = 645,313,382,596
  5. Step 5: Solve for x
    x = 645,313,382,596/369,305
  6. Step 6: Final answer
    x = 1,747,372.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.