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Finding the Third Proportional to 384,493 and 841,361

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Solution

The third proportional to 384,493 and 841,361 is: 1,841,095.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,493 : 841,361 = 841,361 : x
  2. Step 2: Convert to fraction form
    384,493/841,361 = 841,361/x
  3. Step 3: Cross multiply
    384,493x = 841,361 × 841,361
  4. Step 4: Simplify right side
    384,493x = 707,888,332,321
  5. Step 5: Solve for x
    x = 707,888,332,321/384,493
  6. Step 6: Final answer
    x = 1,841,095.50

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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.