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Finding the Third Proportional to 505,748 and 759,966

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Solution

The third proportional to 505,748 and 759,966 is: 1,141,968.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,748 : 759,966 = 759,966 : x
  2. Step 2: Convert to fraction form
    505,748/759,966 = 759,966/x
  3. Step 3: Cross multiply
    505,748x = 759,966 × 759,966
  4. Step 4: Simplify right side
    505,748x = 577,548,321,156
  5. Step 5: Solve for x
    x = 577,548,321,156/505,748
  6. Step 6: Final answer
    x = 1,141,968.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.