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Finding the Third Proportional to 284,617.55 and 611,444.95

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Solution

The third proportional to 284,617.55 and 611,444.95 is: 1,313,569.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,617.55 : 611,444.95 = 611,444.95 : x
  2. Step 2: Convert to fraction form
    284,617.55/611,444.95 = 611,444.95/x
  3. Step 3: Cross multiply
    284,617.55x = 611,444.95 × 611,444.95
  4. Step 4: Simplify right side
    284,617.55x = 373,864,930,702.03
  5. Step 5: Solve for x
    x = 373,864,930,702.03/284,617.55
  6. Step 6: Final answer
    x = 1,313,569.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.