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Finding the Third Proportional to 425,744.50 and 709,546

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Solution

The third proportional to 425,744.50 and 709,546 is: 1,182,529.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,744.50 : 709,546 = 709,546 : x
  2. Step 2: Convert to fraction form
    425,744.50/709,546 = 709,546/x
  3. Step 3: Cross multiply
    425,744.50x = 709,546 × 709,546
  4. Step 4: Simplify right side
    425,744.50x = 503,455,526,116
  5. Step 5: Solve for x
    x = 503,455,526,116/425,744.50
  6. Step 6: Final answer
    x = 1,182,529.72

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.