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Finding the Third Proportional to 489,152.25 and 773,124.75

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Solution

The third proportional to 489,152.25 and 773,124.75 is: 1,221,954.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,152.25 : 773,124.75 = 773,124.75 : x
  2. Step 2: Convert to fraction form
    489,152.25/773,124.75 = 773,124.75/x
  3. Step 3: Cross multiply
    489,152.25x = 773,124.75 × 773,124.75
  4. Step 4: Simplify right side
    489,152.25x = 597,721,879,062.56
  5. Step 5: Solve for x
    x = 597,721,879,062.56/489,152.25
  6. Step 6: Final answer
    x = 1,221,954.68

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.