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Finding the Third Proportional to 369,535.50 and 514,856.25

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Solution

The third proportional to 369,535.50 and 514,856.25 is: 717,324.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,535.50 : 514,856.25 = 514,856.25 : x
  2. Step 2: Convert to fraction form
    369,535.50/514,856.25 = 514,856.25/x
  3. Step 3: Cross multiply
    369,535.50x = 514,856.25 × 514,856.25
  4. Step 4: Simplify right side
    369,535.50x = 265,076,958,164.06
  5. Step 5: Solve for x
    x = 265,076,958,164.06/369,535.50
  6. Step 6: Final answer
    x = 717,324.74

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.