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Finding the Third Proportional to 282,421.50 and 614,674.50

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Solution

The third proportional to 282,421.50 and 614,674.50 is: 1,337,804.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,421.50 : 614,674.50 = 614,674.50 : x
  2. Step 2: Convert to fraction form
    282,421.50/614,674.50 = 614,674.50/x
  3. Step 3: Cross multiply
    282,421.50x = 614,674.50 × 614,674.50
  4. Step 4: Simplify right side
    282,421.50x = 377,824,740,950.25
  5. Step 5: Solve for x
    x = 377,824,740,950.25/282,421.50
  6. Step 6: Final answer
    x = 1,337,804.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.