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Finding the Third Proportional to 579,580.31 and 1,255,689.84

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Solution

The third proportional to 579,580.31 and 1,255,689.84 is: 2,720,515.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,580.31 : 1,255,689.84 = 1,255,689.84 : x
  2. Step 2: Convert to fraction form
    579,580.31/1,255,689.84 = 1,255,689.84/x
  3. Step 3: Cross multiply
    579,580.31x = 1,255,689.84 × 1,255,689.84
  4. Step 4: Simplify right side
    579,580.31x = 1,576,756,983,696.90
  5. Step 5: Solve for x
    x = 1,576,756,983,696.90/579,580.31
  6. Step 6: Final answer
    x = 2,720,515.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.