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Finding the Third Proportional to 233,440 and 512,272

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Solution

The third proportional to 233,440 and 512,272 is: 1,124,154.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,440 : 512,272 = 512,272 : x
  2. Step 2: Convert to fraction form
    233,440/512,272 = 512,272/x
  3. Step 3: Cross multiply
    233,440x = 512,272 × 512,272
  4. Step 4: Simplify right side
    233,440x = 262,422,601,984
  5. Step 5: Solve for x
    x = 262,422,601,984/233,440
  6. Step 6: Final answer
    x = 1,124,154.40

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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.