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Finding the Third Proportional to 525,222 and 811,149.75

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Solution

The third proportional to 525,222 and 811,149.75 is: 1,252,734.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,222 : 811,149.75 = 811,149.75 : x
  2. Step 2: Convert to fraction form
    525,222/811,149.75 = 811,149.75/x
  3. Step 3: Cross multiply
    525,222x = 811,149.75 × 811,149.75
  4. Step 4: Simplify right side
    525,222x = 657,963,916,925.06
  5. Step 5: Solve for x
    x = 657,963,916,925.06/525,222
  6. Step 6: Final answer
    x = 1,252,734.88

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