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Finding the Third Proportional to 525,960 and 813,564

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Solution

The third proportional to 525,960 and 813,564 is: 1,258,434.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,960 : 813,564 = 813,564 : x
  2. Step 2: Convert to fraction form
    525,960/813,564 = 813,564/x
  3. Step 3: Cross multiply
    525,960x = 813,564 × 813,564
  4. Step 4: Simplify right side
    525,960x = 661,886,382,096
  5. Step 5: Solve for x
    x = 661,886,382,096/525,960
  6. Step 6: Final answer
    x = 1,258,434.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.