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Finding the Third Proportional to 472,484 and 751,349

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Solution

The third proportional to 472,484 and 751,349 is: 1,194,803.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,484 : 751,349 = 751,349 : x
  2. Step 2: Convert to fraction form
    472,484/751,349 = 751,349/x
  3. Step 3: Cross multiply
    472,484x = 751,349 × 751,349
  4. Step 4: Simplify right side
    472,484x = 564,525,319,801
  5. Step 5: Solve for x
    x = 564,525,319,801/472,484
  6. Step 6: Final answer
    x = 1,194,803.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.