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Finding the Third Proportional to 276,053 and 595,603

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Solution

The third proportional to 276,053 and 595,603 is: 1,285,053.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,053 : 595,603 = 595,603 : x
  2. Step 2: Convert to fraction form
    276,053/595,603 = 595,603/x
  3. Step 3: Cross multiply
    276,053x = 595,603 × 595,603
  4. Step 4: Simplify right side
    276,053x = 354,742,933,609
  5. Step 5: Solve for x
    x = 354,742,933,609/276,053
  6. Step 6: Final answer
    x = 1,285,053.72

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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.