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Finding the Third Proportional to 286,195.50 and 453,078

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Solution

The third proportional to 286,195.50 and 453,078 is: 717,270.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,195.50 : 453,078 = 453,078 : x
  2. Step 2: Convert to fraction form
    286,195.50/453,078 = 453,078/x
  3. Step 3: Cross multiply
    286,195.50x = 453,078 × 453,078
  4. Step 4: Simplify right side
    286,195.50x = 205,279,674,084
  5. Step 5: Solve for x
    x = 205,279,674,084/286,195.50
  6. Step 6: Final answer
    x = 717,270.80

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.