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Finding the Third Proportional to 421,522 and 642,778

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Solution

The third proportional to 421,522 and 642,778 is: 980,170.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,522 : 642,778 = 642,778 : x
  2. Step 2: Convert to fraction form
    421,522/642,778 = 642,778/x
  3. Step 3: Cross multiply
    421,522x = 642,778 × 642,778
  4. Step 4: Simplify right side
    421,522x = 413,163,557,284
  5. Step 5: Solve for x
    x = 413,163,557,284/421,522
  6. Step 6: Final answer
    x = 980,170.80

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.