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Finding the Third Proportional to 571,256.30 and 1,244,977.59

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Solution

The third proportional to 571,256.30 and 1,244,977.59 is: 2,713,264.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,256.30 : 1,244,977.59 = 1,244,977.59 : x
  2. Step 2: Convert to fraction form
    571,256.30/1,244,977.59 = 1,244,977.59/x
  3. Step 3: Cross multiply
    571,256.30x = 1,244,977.59 × 1,244,977.59
  4. Step 4: Simplify right side
    571,256.30x = 1,549,969,208,939.54
  5. Step 5: Solve for x
    x = 1,549,969,208,939.54/571,256.30
  6. Step 6: Final answer
    x = 2,713,264.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.