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Finding the Third Proportional to 590,955.75 and 865,472.25

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Solution

The third proportional to 590,955.75 and 865,472.25 is: 1,267,509.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,955.75 : 865,472.25 = 865,472.25 : x
  2. Step 2: Convert to fraction form
    590,955.75/865,472.25 = 865,472.25/x
  3. Step 3: Cross multiply
    590,955.75x = 865,472.25 × 865,472.25
  4. Step 4: Simplify right side
    590,955.75x = 749,042,215,520.06
  5. Step 5: Solve for x
    x = 749,042,215,520.06/590,955.75
  6. Step 6: Final answer
    x = 1,267,509.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.