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Finding the Third Proportional to 417,756 and 608,766

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Solution

The third proportional to 417,756 and 608,766 is: 887,111.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,756 : 608,766 = 608,766 : x
  2. Step 2: Convert to fraction form
    417,756/608,766 = 608,766/x
  3. Step 3: Cross multiply
    417,756x = 608,766 × 608,766
  4. Step 4: Simplify right side
    417,756x = 370,596,042,756
  5. Step 5: Solve for x
    x = 370,596,042,756/417,756
  6. Step 6: Final answer
    x = 887,111.24

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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.