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Finding the Third Proportional to 282,708 and 604,638

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Solution

The third proportional to 282,708 and 604,638 is: 1,293,161.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,708 : 604,638 = 604,638 : x
  2. Step 2: Convert to fraction form
    282,708/604,638 = 604,638/x
  3. Step 3: Cross multiply
    282,708x = 604,638 × 604,638
  4. Step 4: Simplify right side
    282,708x = 365,587,111,044
  5. Step 5: Solve for x
    x = 365,587,111,044/282,708
  6. Step 6: Final answer
    x = 1,293,161.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.