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Finding the Third Proportional to 492,965 and 761,212

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Solution

The third proportional to 492,965 and 761,212 is: 1,175,425.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,965 : 761,212 = 761,212 : x
  2. Step 2: Convert to fraction form
    492,965/761,212 = 761,212/x
  3. Step 3: Cross multiply
    492,965x = 761,212 × 761,212
  4. Step 4: Simplify right side
    492,965x = 579,443,708,944
  5. Step 5: Solve for x
    x = 579,443,708,944/492,965
  6. Step 6: Final answer
    x = 1,175,425.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.