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Finding the Third Proportional to 459,326 and 675,381

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Solution

The third proportional to 459,326 and 675,381 is: 993,062.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,326 : 675,381 = 675,381 : x
  2. Step 2: Convert to fraction form
    459,326/675,381 = 675,381/x
  3. Step 3: Cross multiply
    459,326x = 675,381 × 675,381
  4. Step 4: Simplify right side
    459,326x = 456,139,495,161
  5. Step 5: Solve for x
    x = 456,139,495,161/459,326
  6. Step 6: Final answer
    x = 993,062.65

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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.