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Finding the Third Proportional to 454,266.56 and 703,733.06

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Solution

The third proportional to 454,266.56 and 703,733.06 is: 1,090,197.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,266.56 : 703,733.06 = 703,733.06 : x
  2. Step 2: Convert to fraction form
    454,266.56/703,733.06 = 703,733.06/x
  3. Step 3: Cross multiply
    454,266.56x = 703,733.06 × 703,733.06
  4. Step 4: Simplify right side
    454,266.56x = 495,240,223,255.63
  5. Step 5: Solve for x
    x = 495,240,223,255.63/454,266.56
  6. Step 6: Final answer
    x = 1,090,197.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.