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Finding the Third Proportional to 292,656 and 437,736

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Solution

The third proportional to 292,656 and 437,736 is: 654,737.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,656 : 437,736 = 437,736 : x
  2. Step 2: Convert to fraction form
    292,656/437,736 = 437,736/x
  3. Step 3: Cross multiply
    292,656x = 437,736 × 437,736
  4. Step 4: Simplify right side
    292,656x = 191,612,805,696
  5. Step 5: Solve for x
    x = 191,612,805,696/292,656
  6. Step 6: Final answer
    x = 654,737.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.