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Finding the Third Proportional to 445,527 and 590,773.50

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Solution

The third proportional to 445,527 and 590,773.50 is: 783,371.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,527 : 590,773.50 = 590,773.50 : x
  2. Step 2: Convert to fraction form
    445,527/590,773.50 = 590,773.50/x
  3. Step 3: Cross multiply
    445,527x = 590,773.50 × 590,773.50
  4. Step 4: Simplify right side
    445,527x = 349,013,328,302.25
  5. Step 5: Solve for x
    x = 349,013,328,302.25/445,527
  6. Step 6: Final answer
    x = 783,371.89

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.