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Finding the Third Proportional to 502,275 and 1,185,445

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Solution

The third proportional to 502,275 and 1,185,445 is: 2,797,829.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,275 : 1,185,445 = 1,185,445 : x
  2. Step 2: Convert to fraction form
    502,275/1,185,445 = 1,185,445/x
  3. Step 3: Cross multiply
    502,275x = 1,185,445 × 1,185,445
  4. Step 4: Simplify right side
    502,275x = 1,405,279,848,025
  5. Step 5: Solve for x
    x = 1,405,279,848,025/502,275
  6. Step 6: Final answer
    x = 2,797,829.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.