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Finding the Third Proportional to 240,369 and 373,664

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Solution

The third proportional to 240,369 and 373,664 is: 580,876.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,369 : 373,664 = 373,664 : x
  2. Step 2: Convert to fraction form
    240,369/373,664 = 373,664/x
  3. Step 3: Cross multiply
    240,369x = 373,664 × 373,664
  4. Step 4: Simplify right side
    240,369x = 139,624,784,896
  5. Step 5: Solve for x
    x = 139,624,784,896/240,369
  6. Step 6: Final answer
    x = 580,876.84

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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.