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Finding the Third Proportional to 482,661 and 709,933.50

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Solution

The third proportional to 482,661 and 709,933.50 is: 1,044,222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,661 : 709,933.50 = 709,933.50 : x
  2. Step 2: Convert to fraction form
    482,661/709,933.50 = 709,933.50/x
  3. Step 3: Cross multiply
    482,661x = 709,933.50 × 709,933.50
  4. Step 4: Simplify right side
    482,661x = 504,005,574,422.25
  5. Step 5: Solve for x
    x = 504,005,574,422.25/482,661
  6. Step 6: Final answer
    x = 1,044,222.70

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.