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Finding the Third Proportional to 451,526 and 614,998.50

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Solution

The third proportional to 451,526 and 614,998.50 is: 837,655.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,526 : 614,998.50 = 614,998.50 : x
  2. Step 2: Convert to fraction form
    451,526/614,998.50 = 614,998.50/x
  3. Step 3: Cross multiply
    451,526x = 614,998.50 × 614,998.50
  4. Step 4: Simplify right side
    451,526x = 378,223,155,002.25
  5. Step 5: Solve for x
    x = 378,223,155,002.25/451,526
  6. Step 6: Final answer
    x = 837,655.32

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.