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Finding the Third Proportional to 315,264 and 373,584

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Solution

The third proportional to 315,264 and 373,584 is: 442,692.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,264 : 373,584 = 373,584 : x
  2. Step 2: Convert to fraction form
    315,264/373,584 = 373,584/x
  3. Step 3: Cross multiply
    315,264x = 373,584 × 373,584
  4. Step 4: Simplify right side
    315,264x = 139,565,005,056
  5. Step 5: Solve for x
    x = 139,565,005,056/315,264
  6. Step 6: Final answer
    x = 442,692.49

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.