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Finding the Third Proportional to 284,442 and 614,434.50

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Solution

The third proportional to 284,442 and 614,434.50 is: 1,327,264.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,442 : 614,434.50 = 614,434.50 : x
  2. Step 2: Convert to fraction form
    284,442/614,434.50 = 614,434.50/x
  3. Step 3: Cross multiply
    284,442x = 614,434.50 × 614,434.50
  4. Step 4: Simplify right side
    284,442x = 377,529,754,790.25
  5. Step 5: Solve for x
    x = 377,529,754,790.25/284,442
  6. Step 6: Final answer
    x = 1,327,264.45

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