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Finding the Third Proportional to 349,304 and 713,264

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Solution

The third proportional to 349,304 and 713,264 is: 1,456,454.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,304 : 713,264 = 713,264 : x
  2. Step 2: Convert to fraction form
    349,304/713,264 = 713,264/x
  3. Step 3: Cross multiply
    349,304x = 713,264 × 713,264
  4. Step 4: Simplify right side
    349,304x = 508,745,533,696
  5. Step 5: Solve for x
    x = 508,745,533,696/349,304
  6. Step 6: Final answer
    x = 1,456,454.93

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.