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Finding the Third Proportional to 304,368 and 650,946

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Solution

The third proportional to 304,368 and 650,946 is: 1,392,165.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,368 : 650,946 = 650,946 : x
  2. Step 2: Convert to fraction form
    304,368/650,946 = 650,946/x
  3. Step 3: Cross multiply
    304,368x = 650,946 × 650,946
  4. Step 4: Simplify right side
    304,368x = 423,730,694,916
  5. Step 5: Solve for x
    x = 423,730,694,916/304,368
  6. Step 6: Final answer
    x = 1,392,165.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.