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Finding the Third Proportional to 384,453.75 and 841,282.50

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Solution

The third proportional to 384,453.75 and 841,282.50 is: 1,840,939.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,453.75 : 841,282.50 = 841,282.50 : x
  2. Step 2: Convert to fraction form
    384,453.75/841,282.50 = 841,282.50/x
  3. Step 3: Cross multiply
    384,453.75x = 841,282.50 × 841,282.50
  4. Step 4: Simplify right side
    384,453.75x = 707,756,244,806.25
  5. Step 5: Solve for x
    x = 707,756,244,806.25/384,453.75
  6. Step 6: Final answer
    x = 1,840,939.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.