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Finding the Third Proportional to 472,695 and 688,729.50

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Solution

The third proportional to 472,695 and 688,729.50 is: 1,003,497.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,695 : 688,729.50 = 688,729.50 : x
  2. Step 2: Convert to fraction form
    472,695/688,729.50 = 688,729.50/x
  3. Step 3: Cross multiply
    472,695x = 688,729.50 × 688,729.50
  4. Step 4: Simplify right side
    472,695x = 474,348,324,170.25
  5. Step 5: Solve for x
    x = 474,348,324,170.25/472,695
  6. Step 6: Final answer
    x = 1,003,497.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.