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Finding the Third Proportional to 287,959.50 and 396,946.50

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Solution

The third proportional to 287,959.50 and 396,946.50 is: 547,182.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,959.50 : 396,946.50 = 396,946.50 : x
  2. Step 2: Convert to fraction form
    287,959.50/396,946.50 = 396,946.50/x
  3. Step 3: Cross multiply
    287,959.50x = 396,946.50 × 396,946.50
  4. Step 4: Simplify right side
    287,959.50x = 157,566,523,862.25
  5. Step 5: Solve for x
    x = 157,566,523,862.25/287,959.50
  6. Step 6: Final answer
    x = 547,182.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.