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Finding the Third Proportional to 455,468 and 648,823

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Solution

The third proportional to 455,468 and 648,823 is: 924,260.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,468 : 648,823 = 648,823 : x
  2. Step 2: Convert to fraction form
    455,468/648,823 = 648,823/x
  3. Step 3: Cross multiply
    455,468x = 648,823 × 648,823
  4. Step 4: Simplify right side
    455,468x = 420,971,285,329
  5. Step 5: Solve for x
    x = 420,971,285,329/455,468
  6. Step 6: Final answer
    x = 924,260.95

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.