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Finding the Third Proportional to 233,904 and 512,557

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Solution

The third proportional to 233,904 and 512,557 is: 1,123,173.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,904 : 512,557 = 512,557 : x
  2. Step 2: Convert to fraction form
    233,904/512,557 = 512,557/x
  3. Step 3: Cross multiply
    233,904x = 512,557 × 512,557
  4. Step 4: Simplify right side
    233,904x = 262,714,678,249
  5. Step 5: Solve for x
    x = 262,714,678,249/233,904
  6. Step 6: Final answer
    x = 1,123,173.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.