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Finding the Third Proportional to 347,988 and 529,272

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Solution

The third proportional to 347,988 and 529,272 is: 804,995.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,988 : 529,272 = 529,272 : x
  2. Step 2: Convert to fraction form
    347,988/529,272 = 529,272/x
  3. Step 3: Cross multiply
    347,988x = 529,272 × 529,272
  4. Step 4: Simplify right side
    347,988x = 280,128,849,984
  5. Step 5: Solve for x
    x = 280,128,849,984/347,988
  6. Step 6: Final answer
    x = 804,995.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.