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Finding the Third Proportional to 481,368 and 748,376

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Solution

The third proportional to 481,368 and 748,376 is: 1,163,489.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,368 : 748,376 = 748,376 : x
  2. Step 2: Convert to fraction form
    481,368/748,376 = 748,376/x
  3. Step 3: Cross multiply
    481,368x = 748,376 × 748,376
  4. Step 4: Simplify right side
    481,368x = 560,066,637,376
  5. Step 5: Solve for x
    x = 560,066,637,376/481,368
  6. Step 6: Final answer
    x = 1,163,489.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.