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Finding the Third Proportional to 265,833 and 583,337.25

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Solution

The third proportional to 265,833 and 583,337.25 is: 1,280,060.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,833 : 583,337.25 = 583,337.25 : x
  2. Step 2: Convert to fraction form
    265,833/583,337.25 = 583,337.25/x
  3. Step 3: Cross multiply
    265,833x = 583,337.25 × 583,337.25
  4. Step 4: Simplify right side
    265,833x = 340,282,347,237.56
  5. Step 5: Solve for x
    x = 340,282,347,237.56/265,833
  6. Step 6: Final answer
    x = 1,280,060.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.