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Finding the Third Proportional to 541,224 and 841,293

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Solution

The third proportional to 541,224 and 841,293 is: 1,307,728.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,224 : 841,293 = 841,293 : x
  2. Step 2: Convert to fraction form
    541,224/841,293 = 841,293/x
  3. Step 3: Cross multiply
    541,224x = 841,293 × 841,293
  4. Step 4: Simplify right side
    541,224x = 707,773,911,849
  5. Step 5: Solve for x
    x = 707,773,911,849/541,224
  6. Step 6: Final answer
    x = 1,307,728.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.