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Finding the Third Proportional to 233,968 and 506,824

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Solution

The third proportional to 233,968 and 506,824 is: 1,097,887.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,968 : 506,824 = 506,824 : x
  2. Step 2: Convert to fraction form
    233,968/506,824 = 506,824/x
  3. Step 3: Cross multiply
    233,968x = 506,824 × 506,824
  4. Step 4: Simplify right side
    233,968x = 256,870,566,976
  5. Step 5: Solve for x
    x = 256,870,566,976/233,968
  6. Step 6: Final answer
    x = 1,097,887.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.