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Finding the Third Proportional to 413,623 and 663,625.50

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Solution

The third proportional to 413,623 and 663,625.50 is: 1,064,734.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,623 : 663,625.50 = 663,625.50 : x
  2. Step 2: Convert to fraction form
    413,623/663,625.50 = 663,625.50/x
  3. Step 3: Cross multiply
    413,623x = 663,625.50 × 663,625.50
  4. Step 4: Simplify right side
    413,623x = 440,398,804,250.25
  5. Step 5: Solve for x
    x = 440,398,804,250.25/413,623
  6. Step 6: Final answer
    x = 1,064,734.81

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.