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Finding the Third Proportional to 366,988 and 562,146

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Solution

The third proportional to 366,988 and 562,146 is: 861,085.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,988 : 562,146 = 562,146 : x
  2. Step 2: Convert to fraction form
    366,988/562,146 = 562,146/x
  3. Step 3: Cross multiply
    366,988x = 562,146 × 562,146
  4. Step 4: Simplify right side
    366,988x = 316,008,125,316
  5. Step 5: Solve for x
    x = 316,008,125,316/366,988
  6. Step 6: Final answer
    x = 861,085.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.