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Finding the Third Proportional to 489,187.13 and 675,946.69

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Solution

The third proportional to 489,187.13 and 675,946.69 is: 934,006.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,187.13 : 675,946.69 = 675,946.69 : x
  2. Step 2: Convert to fraction form
    489,187.13/675,946.69 = 675,946.69/x
  3. Step 3: Cross multiply
    489,187.13x = 675,946.69 × 675,946.69
  4. Step 4: Simplify right side
    489,187.13x = 456,903,924,342.22
  5. Step 5: Solve for x
    x = 456,903,924,342.22/489,187.13
  6. Step 6: Final answer
    x = 934,006.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.