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Finding the Third Proportional to 541,260 and 824,657

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Solution

The third proportional to 541,260 and 824,657 is: 1,256,437.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,260 : 824,657 = 824,657 : x
  2. Step 2: Convert to fraction form
    541,260/824,657 = 824,657/x
  3. Step 3: Cross multiply
    541,260x = 824,657 × 824,657
  4. Step 4: Simplify right side
    541,260x = 680,059,167,649
  5. Step 5: Solve for x
    x = 680,059,167,649/541,260
  6. Step 6: Final answer
    x = 1,256,437.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.