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Finding the Third Proportional to 369,304 and 803,313

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Solution

The third proportional to 369,304 and 803,313 is: 1,747,372.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,304 : 803,313 = 803,313 : x
  2. Step 2: Convert to fraction form
    369,304/803,313 = 803,313/x
  3. Step 3: Cross multiply
    369,304x = 803,313 × 803,313
  4. Step 4: Simplify right side
    369,304x = 645,311,775,969
  5. Step 5: Solve for x
    x = 645,311,775,969/369,304
  6. Step 6: Final answer
    x = 1,747,372.83

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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.