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Finding the Third Proportional to 495,104 and 754,960

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Solution

The third proportional to 495,104 and 754,960 is: 1,151,201.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,104 : 754,960 = 754,960 : x
  2. Step 2: Convert to fraction form
    495,104/754,960 = 754,960/x
  3. Step 3: Cross multiply
    495,104x = 754,960 × 754,960
  4. Step 4: Simplify right side
    495,104x = 569,964,601,600
  5. Step 5: Solve for x
    x = 569,964,601,600/495,104
  6. Step 6: Final answer
    x = 1,151,201.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.