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Finding the Third Proportional to 495,096 and 772,224

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Solution

The third proportional to 495,096 and 772,224 is: 1,204,473.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,096 : 772,224 = 772,224 : x
  2. Step 2: Convert to fraction form
    495,096/772,224 = 772,224/x
  3. Step 3: Cross multiply
    495,096x = 772,224 × 772,224
  4. Step 4: Simplify right side
    495,096x = 596,329,906,176
  5. Step 5: Solve for x
    x = 596,329,906,176/495,096
  6. Step 6: Final answer
    x = 1,204,473.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.