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Finding the Third Proportional to 283,988 and 612,364

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Solution

The third proportional to 283,988 and 612,364 is: 1,320,441.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,988 : 612,364 = 612,364 : x
  2. Step 2: Convert to fraction form
    283,988/612,364 = 612,364/x
  3. Step 3: Cross multiply
    283,988x = 612,364 × 612,364
  4. Step 4: Simplify right side
    283,988x = 374,989,668,496
  5. Step 5: Solve for x
    x = 374,989,668,496/283,988
  6. Step 6: Final answer
    x = 1,320,441.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.