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Finding the Third Proportional to 489,216 and 748,414.50

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Solution

The third proportional to 489,216 and 748,414.50 is: 1,144,942.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,216 : 748,414.50 = 748,414.50 : x
  2. Step 2: Convert to fraction form
    489,216/748,414.50 = 748,414.50/x
  3. Step 3: Cross multiply
    489,216x = 748,414.50 × 748,414.50
  4. Step 4: Simplify right side
    489,216x = 560,124,263,810.25
  5. Step 5: Solve for x
    x = 560,124,263,810.25/489,216
  6. Step 6: Final answer
    x = 1,144,942.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.