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Finding the Third Proportional to 367,657.50 and 506,284.50

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Solution

The third proportional to 367,657.50 and 506,284.50 is: 697,181.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,657.50 : 506,284.50 = 506,284.50 : x
  2. Step 2: Convert to fraction form
    367,657.50/506,284.50 = 506,284.50/x
  3. Step 3: Cross multiply
    367,657.50x = 506,284.50 × 506,284.50
  4. Step 4: Simplify right side
    367,657.50x = 256,323,994,940.25
  5. Step 5: Solve for x
    x = 256,323,994,940.25/367,657.50
  6. Step 6: Final answer
    x = 697,181.47

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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.