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Finding the Third Proportional to 580,678.88 and 1,250,341.31

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Solution

The third proportional to 580,678.88 and 1,250,341.31 is: 2,692,285.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,678.88 : 1,250,341.31 = 1,250,341.31 : x
  2. Step 2: Convert to fraction form
    580,678.88/1,250,341.31 = 1,250,341.31/x
  3. Step 3: Cross multiply
    580,678.88x = 1,250,341.31 × 1,250,341.31
  4. Step 4: Simplify right side
    580,678.88x = 1,563,353,397,744.22
  5. Step 5: Solve for x
    x = 1,563,353,397,744.22/580,678.88
  6. Step 6: Final answer
    x = 2,692,285.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.