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Finding the Third Proportional to 616,169 and 824,178

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Solution

The third proportional to 616,169 and 824,178 is: 1,102,407.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,169 : 824,178 = 824,178 : x
  2. Step 2: Convert to fraction form
    616,169/824,178 = 824,178/x
  3. Step 3: Cross multiply
    616,169x = 824,178 × 824,178
  4. Step 4: Simplify right side
    616,169x = 679,269,375,684
  5. Step 5: Solve for x
    x = 679,269,375,684/616,169
  6. Step 6: Final answer
    x = 1,102,407.58

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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.