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Finding the Third Proportional to 240,784 and 373,349

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Solution

The third proportional to 240,784 and 373,349 is: 578,898.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,784 : 373,349 = 373,349 : x
  2. Step 2: Convert to fraction form
    240,784/373,349 = 373,349/x
  3. Step 3: Cross multiply
    240,784x = 373,349 × 373,349
  4. Step 4: Simplify right side
    240,784x = 139,389,475,801
  5. Step 5: Solve for x
    x = 139,389,475,801/240,784
  6. Step 6: Final answer
    x = 578,898.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.