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Finding the Third Proportional to 763,084.50 and 1,214,674.50

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Solution

The third proportional to 763,084.50 and 1,214,674.50 is: 1,933,513.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,084.50 : 1,214,674.50 = 1,214,674.50 : x
  2. Step 2: Convert to fraction form
    763,084.50/1,214,674.50 = 1,214,674.50/x
  3. Step 3: Cross multiply
    763,084.50x = 1,214,674.50 × 1,214,674.50
  4. Step 4: Simplify right side
    763,084.50x = 1,475,434,140,950.25
  5. Step 5: Solve for x
    x = 1,475,434,140,950.25/763,084.50
  6. Step 6: Final answer
    x = 1,933,513.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.