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Finding the Third Proportional to 238,804 and 514,908

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Solution

The third proportional to 238,804 and 514,908 is: 1,110,242.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,804 : 514,908 = 514,908 : x
  2. Step 2: Convert to fraction form
    238,804/514,908 = 514,908/x
  3. Step 3: Cross multiply
    238,804x = 514,908 × 514,908
  4. Step 4: Simplify right side
    238,804x = 265,130,248,464
  5. Step 5: Solve for x
    x = 265,130,248,464/238,804
  6. Step 6: Final answer
    x = 1,110,242.07

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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.