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Finding the Third Proportional to 282,300 and 605,532

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Solution

The third proportional to 282,300 and 605,532 is: 1,298,862.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,300 : 605,532 = 605,532 : x
  2. Step 2: Convert to fraction form
    282,300/605,532 = 605,532/x
  3. Step 3: Cross multiply
    282,300x = 605,532 × 605,532
  4. Step 4: Simplify right side
    282,300x = 366,669,003,024
  5. Step 5: Solve for x
    x = 366,669,003,024/282,300
  6. Step 6: Final answer
    x = 1,298,862.92

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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.