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Finding the Third Proportional to 366,964 and 583,832

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Solution

The third proportional to 366,964 and 583,832 is: 928,864.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,964 : 583,832 = 583,832 : x
  2. Step 2: Convert to fraction form
    366,964/583,832 = 583,832/x
  3. Step 3: Cross multiply
    366,964x = 583,832 × 583,832
  4. Step 4: Simplify right side
    366,964x = 340,859,804,224
  5. Step 5: Solve for x
    x = 340,859,804,224/366,964
  6. Step 6: Final answer
    x = 928,864.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.