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Finding the Third Proportional to 282,528 and 401,652

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Solution

The third proportional to 282,528 and 401,652 is: 571,002.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,528 : 401,652 = 401,652 : x
  2. Step 2: Convert to fraction form
    282,528/401,652 = 401,652/x
  3. Step 3: Cross multiply
    282,528x = 401,652 × 401,652
  4. Step 4: Simplify right side
    282,528x = 161,324,329,104
  5. Step 5: Solve for x
    x = 161,324,329,104/282,528
  6. Step 6: Final answer
    x = 571,002.98

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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.