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Finding the Third Proportional to 276,840.75 and 592,070.38

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Solution

The third proportional to 276,840.75 and 592,070.38 is: 1,266,241.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,840.75 : 592,070.38 = 592,070.38 : x
  2. Step 2: Convert to fraction form
    276,840.75/592,070.38 = 592,070.38/x
  3. Step 3: Cross multiply
    276,840.75x = 592,070.38 × 592,070.38
  4. Step 4: Simplify right side
    276,840.75x = 350,547,328,952.64
  5. Step 5: Solve for x
    x = 350,547,328,952.64/276,840.75
  6. Step 6: Final answer
    x = 1,266,241.80

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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.