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Finding the Third Proportional to 276,973.17 and 602,474.91

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Solution

The third proportional to 276,973.17 and 602,474.91 is: 1,310,509.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,973.17 : 602,474.91 = 602,474.91 : x
  2. Step 2: Convert to fraction form
    276,973.17/602,474.91 = 602,474.91/x
  3. Step 3: Cross multiply
    276,973.17x = 602,474.91 × 602,474.91
  4. Step 4: Simplify right side
    276,973.17x = 362,976,012,660.95
  5. Step 5: Solve for x
    x = 362,976,012,660.95/276,973.17
  6. Step 6: Final answer
    x = 1,310,509.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.