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Finding the Third Proportional to 284,409 and 614,430

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Solution

The third proportional to 284,409 and 614,430 is: 1,327,399.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,409 : 614,430 = 614,430 : x
  2. Step 2: Convert to fraction form
    284,409/614,430 = 614,430/x
  3. Step 3: Cross multiply
    284,409x = 614,430 × 614,430
  4. Step 4: Simplify right side
    284,409x = 377,524,224,900
  5. Step 5: Solve for x
    x = 377,524,224,900/284,409
  6. Step 6: Final answer
    x = 1,327,399.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.