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Finding the Third Proportional to 282,984 and 616,512

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Solution

The third proportional to 282,984 and 616,512 is: 1,343,139.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,984 : 616,512 = 616,512 : x
  2. Step 2: Convert to fraction form
    282,984/616,512 = 616,512/x
  3. Step 3: Cross multiply
    282,984x = 616,512 × 616,512
  4. Step 4: Simplify right side
    282,984x = 380,087,046,144
  5. Step 5: Solve for x
    x = 380,087,046,144/282,984
  6. Step 6: Final answer
    x = 1,343,139.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.