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Finding the Third Proportional to 506,867.63 and 1,178,595.56

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Solution

The third proportional to 506,867.63 and 1,178,595.56 is: 2,740,533.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,867.63 : 1,178,595.56 = 1,178,595.56 : x
  2. Step 2: Convert to fraction form
    506,867.63/1,178,595.56 = 1,178,595.56/x
  3. Step 3: Cross multiply
    506,867.63x = 1,178,595.56 × 1,178,595.56
  4. Step 4: Simplify right side
    506,867.63x = 1,389,087,499,944.69
  5. Step 5: Solve for x
    x = 1,389,087,499,944.69/506,867.63
  6. Step 6: Final answer
    x = 2,740,533.09

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.