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Finding the Third Proportional to 518,364.50 and 811,386

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Solution

The third proportional to 518,364.50 and 811,386 is: 1,270,046.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,364.50 : 811,386 = 811,386 : x
  2. Step 2: Convert to fraction form
    518,364.50/811,386 = 811,386/x
  3. Step 3: Cross multiply
    518,364.50x = 811,386 × 811,386
  4. Step 4: Simplify right side
    518,364.50x = 658,347,240,996
  5. Step 5: Solve for x
    x = 658,347,240,996/518,364.50
  6. Step 6: Final answer
    x = 1,270,046.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.