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Finding the Third Proportional to 417,218 and 856,553

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Solution

The third proportional to 417,218 and 856,553 is: 1,758,512.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,218 : 856,553 = 856,553 : x
  2. Step 2: Convert to fraction form
    417,218/856,553 = 856,553/x
  3. Step 3: Cross multiply
    417,218x = 856,553 × 856,553
  4. Step 4: Simplify right side
    417,218x = 733,683,041,809
  5. Step 5: Solve for x
    x = 733,683,041,809/417,218
  6. Step 6: Final answer
    x = 1,758,512.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.