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Finding the Third Proportional to 495,512 and 731,604

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Solution

The third proportional to 495,512 and 731,604 is: 1,080,184.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,512 : 731,604 = 731,604 : x
  2. Step 2: Convert to fraction form
    495,512/731,604 = 731,604/x
  3. Step 3: Cross multiply
    495,512x = 731,604 × 731,604
  4. Step 4: Simplify right side
    495,512x = 535,244,412,816
  5. Step 5: Solve for x
    x = 535,244,412,816/495,512
  6. Step 6: Final answer
    x = 1,080,184.56

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.