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Finding the Third Proportional to 215,686.13 and 453,676.50

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Solution

The third proportional to 215,686.13 and 453,676.50 is: 954,268.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,686.13 : 453,676.50 = 453,676.50 : x
  2. Step 2: Convert to fraction form
    215,686.13/453,676.50 = 453,676.50/x
  3. Step 3: Cross multiply
    215,686.13x = 453,676.50 × 453,676.50
  4. Step 4: Simplify right side
    215,686.13x = 205,822,366,652.25
  5. Step 5: Solve for x
    x = 205,822,366,652.25/215,686.13
  6. Step 6: Final answer
    x = 954,268.00

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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.