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Finding the Third Proportional to 366,942 and 583,764

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Solution

The third proportional to 366,942 and 583,764 is: 928,703.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,942 : 583,764 = 583,764 : x
  2. Step 2: Convert to fraction form
    366,942/583,764 = 583,764/x
  3. Step 3: Cross multiply
    366,942x = 583,764 × 583,764
  4. Step 4: Simplify right side
    366,942x = 340,780,407,696
  5. Step 5: Solve for x
    x = 340,780,407,696/366,942
  6. Step 6: Final answer
    x = 928,703.74

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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.