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Finding the Third Proportional to 276,852.75 and 592,094.44

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Solution

The third proportional to 276,852.75 and 592,094.44 is: 1,266,289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,852.75 : 592,094.44 = 592,094.44 : x
  2. Step 2: Convert to fraction form
    276,852.75/592,094.44 = 592,094.44/x
  3. Step 3: Cross multiply
    276,852.75x = 592,094.44 × 592,094.44
  4. Step 4: Simplify right side
    276,852.75x = 350,575,822,918.44
  5. Step 5: Solve for x
    x = 350,575,822,918.44/276,852.75
  6. Step 6: Final answer
    x = 1,266,289.83

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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.