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Finding the Third Proportional to 280,066 and 614,556

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Solution

The third proportional to 280,066 and 614,556 is: 1,348,535.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,066 : 614,556 = 614,556 : x
  2. Step 2: Convert to fraction form
    280,066/614,556 = 614,556/x
  3. Step 3: Cross multiply
    280,066x = 614,556 × 614,556
  4. Step 4: Simplify right side
    280,066x = 377,679,077,136
  5. Step 5: Solve for x
    x = 377,679,077,136/280,066
  6. Step 6: Final answer
    x = 1,348,535.98

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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.