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Finding the Third Proportional to 393,584 and 841,888

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Solution

The third proportional to 393,584 and 841,888 is: 1,800,823.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,584 : 841,888 = 841,888 : x
  2. Step 2: Convert to fraction form
    393,584/841,888 = 841,888/x
  3. Step 3: Cross multiply
    393,584x = 841,888 × 841,888
  4. Step 4: Simplify right side
    393,584x = 708,775,404,544
  5. Step 5: Solve for x
    x = 708,775,404,544/393,584
  6. Step 6: Final answer
    x = 1,800,823.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.