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Finding the Third Proportional to 384,097 and 593,470

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Solution

The third proportional to 384,097 and 593,470 is: 916,973.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,097 : 593,470 = 593,470 : x
  2. Step 2: Convert to fraction form
    384,097/593,470 = 593,470/x
  3. Step 3: Cross multiply
    384,097x = 593,470 × 593,470
  4. Step 4: Simplify right side
    384,097x = 352,206,640,900
  5. Step 5: Solve for x
    x = 352,206,640,900/384,097
  6. Step 6: Final answer
    x = 916,973.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.