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Finding the Third Proportional to 474,673 and 634,078

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Solution

The third proportional to 474,673 and 634,078 is: 847,014.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,673 : 634,078 = 634,078 : x
  2. Step 2: Convert to fraction form
    474,673/634,078 = 634,078/x
  3. Step 3: Cross multiply
    474,673x = 634,078 × 634,078
  4. Step 4: Simplify right side
    474,673x = 402,054,910,084
  5. Step 5: Solve for x
    x = 402,054,910,084/474,673
  6. Step 6: Final answer
    x = 847,014.49

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.