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Finding the Third Proportional to 495,013 and 772,085

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Solution

The third proportional to 495,013 and 772,085 is: 1,204,241.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,013 : 772,085 = 772,085 : x
  2. Step 2: Convert to fraction form
    495,013/772,085 = 772,085/x
  3. Step 3: Cross multiply
    495,013x = 772,085 × 772,085
  4. Step 4: Simplify right side
    495,013x = 596,115,247,225
  5. Step 5: Solve for x
    x = 596,115,247,225/495,013
  6. Step 6: Final answer
    x = 1,204,241.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.