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Finding the Third Proportional to 296,266.50 and 455,085

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Solution

The third proportional to 296,266.50 and 455,085 is: 699,040.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,266.50 : 455,085 = 455,085 : x
  2. Step 2: Convert to fraction form
    296,266.50/455,085 = 455,085/x
  3. Step 3: Cross multiply
    296,266.50x = 455,085 × 455,085
  4. Step 4: Simplify right side
    296,266.50x = 207,102,357,225
  5. Step 5: Solve for x
    x = 207,102,357,225/296,266.50
  6. Step 6: Final answer
    x = 699,040.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.