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Finding the Third Proportional to 348,304 and 711,368

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Solution

The third proportional to 348,304 and 711,368 is: 1,452,881.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,304 : 711,368 = 711,368 : x
  2. Step 2: Convert to fraction form
    348,304/711,368 = 711,368/x
  3. Step 3: Cross multiply
    348,304x = 711,368 × 711,368
  4. Step 4: Simplify right side
    348,304x = 506,044,431,424
  5. Step 5: Solve for x
    x = 506,044,431,424/348,304
  6. Step 6: Final answer
    x = 1,452,881.48

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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.