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Finding the Third Proportional to 419,187.50 and 592,574

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Solution

The third proportional to 419,187.50 and 592,574 is: 837,677.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,187.50 : 592,574 = 592,574 : x
  2. Step 2: Convert to fraction form
    419,187.50/592,574 = 592,574/x
  3. Step 3: Cross multiply
    419,187.50x = 592,574 × 592,574
  4. Step 4: Simplify right side
    419,187.50x = 351,143,945,476
  5. Step 5: Solve for x
    x = 351,143,945,476/419,187.50
  6. Step 6: Final answer
    x = 837,677.52

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.