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Finding the Third Proportional to 276,462 and 602,091

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Solution

The third proportional to 276,462 and 602,091 is: 1,311,260.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,462 : 602,091 = 602,091 : x
  2. Step 2: Convert to fraction form
    276,462/602,091 = 602,091/x
  3. Step 3: Cross multiply
    276,462x = 602,091 × 602,091
  4. Step 4: Simplify right side
    276,462x = 362,513,572,281
  5. Step 5: Solve for x
    x = 362,513,572,281/276,462
  6. Step 6: Final answer
    x = 1,311,260.04

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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.