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Finding the Third Proportional to 525,222 and 811,123

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Solution

The third proportional to 525,222 and 811,123 is: 1,252,652.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,222 : 811,123 = 811,123 : x
  2. Step 2: Convert to fraction form
    525,222/811,123 = 811,123/x
  3. Step 3: Cross multiply
    525,222x = 811,123 × 811,123
  4. Step 4: Simplify right side
    525,222x = 657,920,521,129
  5. Step 5: Solve for x
    x = 657,920,521,129/525,222
  6. Step 6: Final answer
    x = 1,252,652.25

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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.