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Finding the Third Proportional to 474,762 and 634,206

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Solution

The third proportional to 474,762 and 634,206 is: 847,197.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,762 : 634,206 = 634,206 : x
  2. Step 2: Convert to fraction form
    474,762/634,206 = 634,206/x
  3. Step 3: Cross multiply
    474,762x = 634,206 × 634,206
  4. Step 4: Simplify right side
    474,762x = 402,217,250,436
  5. Step 5: Solve for x
    x = 402,217,250,436/474,762
  6. Step 6: Final answer
    x = 847,197.65

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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.