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Finding the Third Proportional to 495,236.25 and 744,036.75

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Solution

The third proportional to 495,236.25 and 744,036.75 is: 1,117,831.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,236.25 : 744,036.75 = 744,036.75 : x
  2. Step 2: Convert to fraction form
    495,236.25/744,036.75 = 744,036.75/x
  3. Step 3: Cross multiply
    495,236.25x = 744,036.75 × 744,036.75
  4. Step 4: Simplify right side
    495,236.25x = 553,590,685,350.56
  5. Step 5: Solve for x
    x = 553,590,685,350.56/495,236.25
  6. Step 6: Final answer
    x = 1,117,831.51

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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.