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Finding the Third Proportional to 417,122 and 597,747

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Solution

The third proportional to 417,122 and 597,747 is: 856,587.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,122 : 597,747 = 597,747 : x
  2. Step 2: Convert to fraction form
    417,122/597,747 = 597,747/x
  3. Step 3: Cross multiply
    417,122x = 597,747 × 597,747
  4. Step 4: Simplify right side
    417,122x = 357,301,476,009
  5. Step 5: Solve for x
    x = 357,301,476,009/417,122
  6. Step 6: Final answer
    x = 856,587.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.