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Finding the Third Proportional to 295,753.50 and 433,111.50

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Solution

The third proportional to 295,753.50 and 433,111.50 is: 634,263.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,753.50 : 433,111.50 = 433,111.50 : x
  2. Step 2: Convert to fraction form
    295,753.50/433,111.50 = 433,111.50/x
  3. Step 3: Cross multiply
    295,753.50x = 433,111.50 × 433,111.50
  4. Step 4: Simplify right side
    295,753.50x = 187,585,571,432.25
  5. Step 5: Solve for x
    x = 187,585,571,432.25/295,753.50
  6. Step 6: Final answer
    x = 634,263.23

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.