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Finding the Third Proportional to 280,155 and 614,706

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Solution

The third proportional to 280,155 and 614,706 is: 1,348,765.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,155 : 614,706 = 614,706 : x
  2. Step 2: Convert to fraction form
    280,155/614,706 = 614,706/x
  3. Step 3: Cross multiply
    280,155x = 614,706 × 614,706
  4. Step 4: Simplify right side
    280,155x = 377,863,466,436
  5. Step 5: Solve for x
    x = 377,863,466,436/280,155
  6. Step 6: Final answer
    x = 1,348,765.74

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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.