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Finding the Third Proportional to 470,922 and 684,501

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Solution

The third proportional to 470,922 and 684,501 is: 994,945.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,922 : 684,501 = 684,501 : x
  2. Step 2: Convert to fraction form
    470,922/684,501 = 684,501/x
  3. Step 3: Cross multiply
    470,922x = 684,501 × 684,501
  4. Step 4: Simplify right side
    470,922x = 468,541,619,001
  5. Step 5: Solve for x
    x = 468,541,619,001/470,922
  6. Step 6: Final answer
    x = 994,945.28

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.