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Finding the Third Proportional to 302,916 and 615,764

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Solution

The third proportional to 302,916 and 615,764 is: 1,251,717.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,916 : 615,764 = 615,764 : x
  2. Step 2: Convert to fraction form
    302,916/615,764 = 615,764/x
  3. Step 3: Cross multiply
    302,916x = 615,764 × 615,764
  4. Step 4: Simplify right side
    302,916x = 379,165,303,696
  5. Step 5: Solve for x
    x = 379,165,303,696/302,916
  6. Step 6: Final answer
    x = 1,251,717.65

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.