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Finding the Third Proportional to 583,901.25 and 1,257,834

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Solution

The third proportional to 583,901.25 and 1,257,834 is: 2,709,612.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,901.25 : 1,257,834 = 1,257,834 : x
  2. Step 2: Convert to fraction form
    583,901.25/1,257,834 = 1,257,834/x
  3. Step 3: Cross multiply
    583,901.25x = 1,257,834 × 1,257,834
  4. Step 4: Simplify right side
    583,901.25x = 1,582,146,371,556
  5. Step 5: Solve for x
    x = 1,582,146,371,556/583,901.25
  6. Step 6: Final answer
    x = 2,709,612.92

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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.