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Finding the Third Proportional to 280,050 and 614,534

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Solution

The third proportional to 280,050 and 614,534 is: 1,348,516.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,050 : 614,534 = 614,534 : x
  2. Step 2: Convert to fraction form
    280,050/614,534 = 614,534/x
  3. Step 3: Cross multiply
    280,050x = 614,534 × 614,534
  4. Step 4: Simplify right side
    280,050x = 377,652,037,156
  5. Step 5: Solve for x
    x = 377,652,037,156/280,050
  6. Step 6: Final answer
    x = 1,348,516.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.