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Finding the Third Proportional to 276,063.19 and 591,492.38

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Solution

The third proportional to 276,063.19 and 591,492.38 is: 1,267,330.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,063.19 : 591,492.38 = 591,492.38 : x
  2. Step 2: Convert to fraction form
    276,063.19/591,492.38 = 591,492.38/x
  3. Step 3: Cross multiply
    276,063.19x = 591,492.38 × 591,492.38
  4. Step 4: Simplify right side
    276,063.19x = 349,863,229,683.14
  5. Step 5: Solve for x
    x = 349,863,229,683.14/276,063.19
  6. Step 6: Final answer
    x = 1,267,330.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.