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Finding the Third Proportional to 360,126 and 774,896.63

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Solution

The third proportional to 360,126 and 774,896.63 is: 1,667,374.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,126 : 774,896.63 = 774,896.63 : x
  2. Step 2: Convert to fraction form
    360,126/774,896.63 = 774,896.63/x
  3. Step 3: Cross multiply
    360,126x = 774,896.63 × 774,896.63
  4. Step 4: Simplify right side
    360,126x = 600,464,779,436.39
  5. Step 5: Solve for x
    x = 600,464,779,436.39/360,126
  6. Step 6: Final answer
    x = 1,667,374.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.