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Finding the Third Proportional to 497,738 and 765,480

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Solution

The third proportional to 497,738 and 765,480 is: 1,177,245.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,738 : 765,480 = 765,480 : x
  2. Step 2: Convert to fraction form
    497,738/765,480 = 765,480/x
  3. Step 3: Cross multiply
    497,738x = 765,480 × 765,480
  4. Step 4: Simplify right side
    497,738x = 585,959,630,400
  5. Step 5: Solve for x
    x = 585,959,630,400/497,738
  6. Step 6: Final answer
    x = 1,177,245.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.