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Finding the Third Proportional to 215,656 and 453,656

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Solution

The third proportional to 215,656 and 453,656 is: 954,315.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,656 : 453,656 = 453,656 : x
  2. Step 2: Convert to fraction form
    215,656/453,656 = 453,656/x
  3. Step 3: Cross multiply
    215,656x = 453,656 × 453,656
  4. Step 4: Simplify right side
    215,656x = 205,803,766,336
  5. Step 5: Solve for x
    x = 205,803,766,336/215,656
  6. Step 6: Final answer
    x = 954,315.05

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.