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Finding the Third Proportional to 246,484 and 531,416

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Solution

The third proportional to 246,484 and 531,416 is: 1,145,725.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,484 : 531,416 = 531,416 : x
  2. Step 2: Convert to fraction form
    246,484/531,416 = 531,416/x
  3. Step 3: Cross multiply
    246,484x = 531,416 × 531,416
  4. Step 4: Simplify right side
    246,484x = 282,402,965,056
  5. Step 5: Solve for x
    x = 282,402,965,056/246,484
  6. Step 6: Final answer
    x = 1,145,725.34

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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.