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Finding the Third Proportional to 616,167 and 824,175

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Solution

The third proportional to 616,167 and 824,175 is: 1,102,403.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,167 : 824,175 = 824,175 : x
  2. Step 2: Convert to fraction form
    616,167/824,175 = 824,175/x
  3. Step 3: Cross multiply
    616,167x = 824,175 × 824,175
  4. Step 4: Simplify right side
    616,167x = 679,264,430,625
  5. Step 5: Solve for x
    x = 679,264,430,625/616,167
  6. Step 6: Final answer
    x = 1,102,403.13

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.