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Finding the Third Proportional to 459,370.50 and 675,927

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Solution

The third proportional to 459,370.50 and 675,927 is: 994,572.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,370.50 : 675,927 = 675,927 : x
  2. Step 2: Convert to fraction form
    459,370.50/675,927 = 675,927/x
  3. Step 3: Cross multiply
    459,370.50x = 675,927 × 675,927
  4. Step 4: Simplify right side
    459,370.50x = 456,877,309,329
  5. Step 5: Solve for x
    x = 456,877,309,329/459,370.50
  6. Step 6: Final answer
    x = 994,572.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.