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Finding the Third Proportional to 238,571 and 514,507

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Solution

The third proportional to 238,571 and 514,507 is: 1,109,596.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,571 : 514,507 = 514,507 : x
  2. Step 2: Convert to fraction form
    238,571/514,507 = 514,507/x
  3. Step 3: Cross multiply
    238,571x = 514,507 × 514,507
  4. Step 4: Simplify right side
    238,571x = 264,717,453,049
  5. Step 5: Solve for x
    x = 264,717,453,049/238,571
  6. Step 6: Final answer
    x = 1,109,596.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.