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Finding the Third Proportional to 276,984 and 592,362

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Solution

The third proportional to 276,984 and 592,362 is: 1,266,833.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,984 : 592,362 = 592,362 : x
  2. Step 2: Convert to fraction form
    276,984/592,362 = 592,362/x
  3. Step 3: Cross multiply
    276,984x = 592,362 × 592,362
  4. Step 4: Simplify right side
    276,984x = 350,892,739,044
  5. Step 5: Solve for x
    x = 350,892,739,044/276,984
  6. Step 6: Final answer
    x = 1,266,833.97

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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.