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Finding the Third Proportional to 331,584 and 715,584

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Solution

The third proportional to 331,584 and 715,584 is: 1,544,285.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,584 : 715,584 = 715,584 : x
  2. Step 2: Convert to fraction form
    331,584/715,584 = 715,584/x
  3. Step 3: Cross multiply
    331,584x = 715,584 × 715,584
  4. Step 4: Simplify right side
    331,584x = 512,060,461,056
  5. Step 5: Solve for x
    x = 512,060,461,056/331,584
  6. Step 6: Final answer
    x = 1,544,285.80

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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.