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Finding the Third Proportional to 282,726 and 415,608

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Solution

The third proportional to 282,726 and 415,608 is: 610,944.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,726 : 415,608 = 415,608 : x
  2. Step 2: Convert to fraction form
    282,726/415,608 = 415,608/x
  3. Step 3: Cross multiply
    282,726x = 415,608 × 415,608
  4. Step 4: Simplify right side
    282,726x = 172,730,009,664
  5. Step 5: Solve for x
    x = 172,730,009,664/282,726
  6. Step 6: Final answer
    x = 610,944.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.