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Finding the Third Proportional to 495,504 and 747,900

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Solution

The third proportional to 495,504 and 747,900 is: 1,128,859.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,504 : 747,900 = 747,900 : x
  2. Step 2: Convert to fraction form
    495,504/747,900 = 747,900/x
  3. Step 3: Cross multiply
    495,504x = 747,900 × 747,900
  4. Step 4: Simplify right side
    495,504x = 559,354,410,000
  5. Step 5: Solve for x
    x = 559,354,410,000/495,504
  6. Step 6: Final answer
    x = 1,128,859.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.