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Finding the Third Proportional to 516,912 and 755,317.50

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Solution

The third proportional to 516,912 and 755,317.50 is: 1,103,678.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,912 : 755,317.50 = 755,317.50 : x
  2. Step 2: Convert to fraction form
    516,912/755,317.50 = 755,317.50/x
  3. Step 3: Cross multiply
    516,912x = 755,317.50 × 755,317.50
  4. Step 4: Simplify right side
    516,912x = 570,504,525,806.25
  5. Step 5: Solve for x
    x = 570,504,525,806.25/516,912
  6. Step 6: Final answer
    x = 1,103,678.24

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.