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Finding the Third Proportional to 417,906 and 626,852

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Solution

The third proportional to 417,906 and 626,852 is: 940,267.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,906 : 626,852 = 626,852 : x
  2. Step 2: Convert to fraction form
    417,906/626,852 = 626,852/x
  3. Step 3: Cross multiply
    417,906x = 626,852 × 626,852
  4. Step 4: Simplify right side
    417,906x = 392,943,429,904
  5. Step 5: Solve for x
    x = 392,943,429,904/417,906
  6. Step 6: Final answer
    x = 940,267.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.