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Finding the Third Proportional to 331,246 and 714,944

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Solution

The third proportional to 331,246 and 714,944 is: 1,543,097.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,246 : 714,944 = 714,944 : x
  2. Step 2: Convert to fraction form
    331,246/714,944 = 714,944/x
  3. Step 3: Cross multiply
    331,246x = 714,944 × 714,944
  4. Step 4: Simplify right side
    331,246x = 511,144,923,136
  5. Step 5: Solve for x
    x = 511,144,923,136/331,246
  6. Step 6: Final answer
    x = 1,543,097.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.