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Finding the Third Proportional to 282,720 and 604,662

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Solution

The third proportional to 282,720 and 604,662 is: 1,293,209.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,720 : 604,662 = 604,662 : x
  2. Step 2: Convert to fraction form
    282,720/604,662 = 604,662/x
  3. Step 3: Cross multiply
    282,720x = 604,662 × 604,662
  4. Step 4: Simplify right side
    282,720x = 365,616,134,244
  5. Step 5: Solve for x
    x = 365,616,134,244/282,720
  6. Step 6: Final answer
    x = 1,293,209.30

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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.