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Finding the Third Proportional to 238,572 and 514,509

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Solution

The third proportional to 238,572 and 514,509 is: 1,109,600.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,572 : 514,509 = 514,509 : x
  2. Step 2: Convert to fraction form
    238,572/514,509 = 514,509/x
  3. Step 3: Cross multiply
    238,572x = 514,509 × 514,509
  4. Step 4: Simplify right side
    238,572x = 264,719,511,081
  5. Step 5: Solve for x
    x = 264,719,511,081/238,572
  6. Step 6: Final answer
    x = 1,109,600.08

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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.