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Finding the Third Proportional to 476,110 and 645,890

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Solution

The third proportional to 476,110 and 645,890 is: 876,213.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,110 : 645,890 = 645,890 : x
  2. Step 2: Convert to fraction form
    476,110/645,890 = 645,890/x
  3. Step 3: Cross multiply
    476,110x = 645,890 × 645,890
  4. Step 4: Simplify right side
    476,110x = 417,173,892,100
  5. Step 5: Solve for x
    x = 417,173,892,100/476,110
  6. Step 6: Final answer
    x = 876,213.25

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.