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Finding the Third Proportional to 233,752 and 512,000

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Solution

The third proportional to 233,752 and 512,000 is: 1,121,462.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,752 : 512,000 = 512,000 : x
  2. Step 2: Convert to fraction form
    233,752/512,000 = 512,000/x
  3. Step 3: Cross multiply
    233,752x = 512,000 × 512,000
  4. Step 4: Simplify right side
    233,752x = 262,144,000,000
  5. Step 5: Solve for x
    x = 262,144,000,000/233,752
  6. Step 6: Final answer
    x = 1,121,462.06

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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.