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Finding the Third Proportional to 238,836 and 514,968

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Solution

The third proportional to 238,836 and 514,968 is: 1,110,352.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,836 : 514,968 = 514,968 : x
  2. Step 2: Convert to fraction form
    238,836/514,968 = 514,968/x
  3. Step 3: Cross multiply
    238,836x = 514,968 × 514,968
  4. Step 4: Simplify right side
    238,836x = 265,192,041,024
  5. Step 5: Solve for x
    x = 265,192,041,024/238,836
  6. Step 6: Final answer
    x = 1,110,352.05

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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.