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Finding the Third Proportional to 470,092 and 685,446

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Solution

The third proportional to 470,092 and 685,446 is: 999,455.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,092 : 685,446 = 685,446 : x
  2. Step 2: Convert to fraction form
    470,092/685,446 = 685,446/x
  3. Step 3: Cross multiply
    470,092x = 685,446 × 685,446
  4. Step 4: Simplify right side
    470,092x = 469,836,218,916
  5. Step 5: Solve for x
    x = 469,836,218,916/470,092
  6. Step 6: Final answer
    x = 999,455.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.