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Finding the Third Proportional to 243,784 and 370,380

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Solution

The third proportional to 243,784 and 370,380 is: 562,716.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,784 : 370,380 = 370,380 : x
  2. Step 2: Convert to fraction form
    243,784/370,380 = 370,380/x
  3. Step 3: Cross multiply
    243,784x = 370,380 × 370,380
  4. Step 4: Simplify right side
    243,784x = 137,181,344,400
  5. Step 5: Solve for x
    x = 137,181,344,400/243,784
  6. Step 6: Final answer
    x = 562,716.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.