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Finding the Third Proportional to 269,283.25 and 583,444.50

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Solution

The third proportional to 269,283.25 and 583,444.50 is: 1,264,124.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,283.25 : 583,444.50 = 583,444.50 : x
  2. Step 2: Convert to fraction form
    269,283.25/583,444.50 = 583,444.50/x
  3. Step 3: Cross multiply
    269,283.25x = 583,444.50 × 583,444.50
  4. Step 4: Simplify right side
    269,283.25x = 340,407,484,580.25
  5. Step 5: Solve for x
    x = 340,407,484,580.25/269,283.25
  6. Step 6: Final answer
    x = 1,264,124.24

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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.