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Finding the Third Proportional to 684,200.25 and 1,059,513.75

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Solution

The third proportional to 684,200.25 and 1,059,513.75 is: 1,640,702.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,200.25 : 1,059,513.75 = 1,059,513.75 : x
  2. Step 2: Convert to fraction form
    684,200.25/1,059,513.75 = 1,059,513.75/x
  3. Step 3: Cross multiply
    684,200.25x = 1,059,513.75 × 1,059,513.75
  4. Step 4: Simplify right side
    684,200.25x = 1,122,569,386,439.06
  5. Step 5: Solve for x
    x = 1,122,569,386,439.06/684,200.25
  6. Step 6: Final answer
    x = 1,640,702.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.