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Finding the Third Proportional to 528,032 and 818,022

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Solution

The third proportional to 528,032 and 818,022 is: 1,267,271.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,032 : 818,022 = 818,022 : x
  2. Step 2: Convert to fraction form
    528,032/818,022 = 818,022/x
  3. Step 3: Cross multiply
    528,032x = 818,022 × 818,022
  4. Step 4: Simplify right side
    528,032x = 669,159,992,484
  5. Step 5: Solve for x
    x = 669,159,992,484/528,032
  6. Step 6: Final answer
    x = 1,267,271.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.