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Finding the Third Proportional to 464,211 and 626,328

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Solution

The third proportional to 464,211 and 626,328 is: 845,061.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,211 : 626,328 = 626,328 : x
  2. Step 2: Convert to fraction form
    464,211/626,328 = 626,328/x
  3. Step 3: Cross multiply
    464,211x = 626,328 × 626,328
  4. Step 4: Simplify right side
    464,211x = 392,286,763,584
  5. Step 5: Solve for x
    x = 392,286,763,584/464,211
  6. Step 6: Final answer
    x = 845,061.33

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.