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Finding the Third Proportional to 525,564 and 811,988

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Solution

The third proportional to 525,564 and 811,988 is: 1,254,508.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,564 : 811,988 = 811,988 : x
  2. Step 2: Convert to fraction form
    525,564/811,988 = 811,988/x
  3. Step 3: Cross multiply
    525,564x = 811,988 × 811,988
  4. Step 4: Simplify right side
    525,564x = 659,324,512,144
  5. Step 5: Solve for x
    x = 659,324,512,144/525,564
  6. Step 6: Final answer
    x = 1,254,508.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.