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Finding the Third Proportional to 318,177 and 692,534

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Solution

The third proportional to 318,177 and 692,534 is: 1,507,347.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,177 : 692,534 = 692,534 : x
  2. Step 2: Convert to fraction form
    318,177/692,534 = 692,534/x
  3. Step 3: Cross multiply
    318,177x = 692,534 × 692,534
  4. Step 4: Simplify right side
    318,177x = 479,603,341,156
  5. Step 5: Solve for x
    x = 479,603,341,156/318,177
  6. Step 6: Final answer
    x = 1,507,347.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.