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Finding the Third Proportional to 395,364 and 932,857.50

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Solution

The third proportional to 395,364 and 932,857.50 is: 2,201,068.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,364 : 932,857.50 = 932,857.50 : x
  2. Step 2: Convert to fraction form
    395,364/932,857.50 = 932,857.50/x
  3. Step 3: Cross multiply
    395,364x = 932,857.50 × 932,857.50
  4. Step 4: Simplify right side
    395,364x = 870,223,115,306.25
  5. Step 5: Solve for x
    x = 870,223,115,306.25/395,364
  6. Step 6: Final answer
    x = 2,201,068.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.