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Finding the Third Proportional to 513,701 and 818,114

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Solution

The third proportional to 513,701 and 818,114 is: 1,302,918.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,701 : 818,114 = 818,114 : x
  2. Step 2: Convert to fraction form
    513,701/818,114 = 818,114/x
  3. Step 3: Cross multiply
    513,701x = 818,114 × 818,114
  4. Step 4: Simplify right side
    513,701x = 669,310,516,996
  5. Step 5: Solve for x
    x = 669,310,516,996/513,701
  6. Step 6: Final answer
    x = 1,302,918.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.