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Finding the Third Proportional to 292,584 and 436,962

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Solution

The third proportional to 292,584 and 436,962 is: 652,584.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,584 : 436,962 = 436,962 : x
  2. Step 2: Convert to fraction form
    292,584/436,962 = 436,962/x
  3. Step 3: Cross multiply
    292,584x = 436,962 × 436,962
  4. Step 4: Simplify right side
    292,584x = 190,935,789,444
  5. Step 5: Solve for x
    x = 190,935,789,444/292,584
  6. Step 6: Final answer
    x = 652,584.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.