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Finding the Third Proportional to 432,211 and 634,304

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Solution

The third proportional to 432,211 and 634,304 is: 930,891.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,211 : 634,304 = 634,304 : x
  2. Step 2: Convert to fraction form
    432,211/634,304 = 634,304/x
  3. Step 3: Cross multiply
    432,211x = 634,304 × 634,304
  4. Step 4: Simplify right side
    432,211x = 402,341,564,416
  5. Step 5: Solve for x
    x = 402,341,564,416/432,211
  6. Step 6: Final answer
    x = 930,891.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.