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Finding the Third Proportional to 377,578 and 571,852

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Solution

The third proportional to 377,578 and 571,852 is: 866,085.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,578 : 571,852 = 571,852 : x
  2. Step 2: Convert to fraction form
    377,578/571,852 = 571,852/x
  3. Step 3: Cross multiply
    377,578x = 571,852 × 571,852
  4. Step 4: Simplify right side
    377,578x = 327,014,709,904
  5. Step 5: Solve for x
    x = 327,014,709,904/377,578
  6. Step 6: Final answer
    x = 866,085.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.