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Finding the Third Proportional to 413,739 and 632,488.50

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Solution

The third proportional to 413,739 and 632,488.50 is: 966,893.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,739 : 632,488.50 = 632,488.50 : x
  2. Step 2: Convert to fraction form
    413,739/632,488.50 = 632,488.50/x
  3. Step 3: Cross multiply
    413,739x = 632,488.50 × 632,488.50
  4. Step 4: Simplify right side
    413,739x = 400,041,702,632.25
  5. Step 5: Solve for x
    x = 400,041,702,632.25/413,739
  6. Step 6: Final answer
    x = 966,893.87

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.