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Finding the Third Proportional to 276,804 and 597,996

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Solution

The third proportional to 276,804 and 597,996 is: 1,291,886.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,804 : 597,996 = 597,996 : x
  2. Step 2: Convert to fraction form
    276,804/597,996 = 597,996/x
  3. Step 3: Cross multiply
    276,804x = 597,996 × 597,996
  4. Step 4: Simplify right side
    276,804x = 357,599,216,016
  5. Step 5: Solve for x
    x = 357,599,216,016/276,804
  6. Step 6: Final answer
    x = 1,291,886.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.