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Finding the Third Proportional to 240,392 and 514,136

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Solution

The third proportional to 240,392 and 514,136 is: 1,099,603.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,392 : 514,136 = 514,136 : x
  2. Step 2: Convert to fraction form
    240,392/514,136 = 514,136/x
  3. Step 3: Cross multiply
    240,392x = 514,136 × 514,136
  4. Step 4: Simplify right side
    240,392x = 264,335,826,496
  5. Step 5: Solve for x
    x = 264,335,826,496/240,392
  6. Step 6: Final answer
    x = 1,099,603.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.