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Finding the Third Proportional to 590,955.75 and 860,599.69

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Solution

The third proportional to 590,955.75 and 860,599.69 is: 1,253,277.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,955.75 : 860,599.69 = 860,599.69 : x
  2. Step 2: Convert to fraction form
    590,955.75/860,599.69 = 860,599.69/x
  3. Step 3: Cross multiply
    590,955.75x = 860,599.69 × 860,599.69
  4. Step 4: Simplify right side
    590,955.75x = 740,631,822,125.10
  5. Step 5: Solve for x
    x = 740,631,822,125.10/590,955.75
  6. Step 6: Final answer
    x = 1,253,277.97

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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.