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Finding the Third Proportional to 623,007 and 818,055

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Solution

The third proportional to 623,007 and 818,055 is: 1,074,167.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,007 : 818,055 = 818,055 : x
  2. Step 2: Convert to fraction form
    623,007/818,055 = 818,055/x
  3. Step 3: Cross multiply
    623,007x = 818,055 × 818,055
  4. Step 4: Simplify right side
    623,007x = 669,213,983,025
  5. Step 5: Solve for x
    x = 669,213,983,025/623,007
  6. Step 6: Final answer
    x = 1,074,167.68

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.