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Finding the Third Proportional to 366,960 and 583,791

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Solution

The third proportional to 366,960 and 583,791 is: 928,744.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,960 : 583,791 = 583,791 : x
  2. Step 2: Convert to fraction form
    366,960/583,791 = 583,791/x
  3. Step 3: Cross multiply
    366,960x = 583,791 × 583,791
  4. Step 4: Simplify right side
    366,960x = 340,811,931,681
  5. Step 5: Solve for x
    x = 340,811,931,681/366,960
  6. Step 6: Final answer
    x = 928,744.09

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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.