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Finding the Third Proportional to 353,176 and 765,024

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Solution

The third proportional to 353,176 and 765,024 is: 1,657,138.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,176 : 765,024 = 765,024 : x
  2. Step 2: Convert to fraction form
    353,176/765,024 = 765,024/x
  3. Step 3: Cross multiply
    353,176x = 765,024 × 765,024
  4. Step 4: Simplify right side
    353,176x = 585,261,720,576
  5. Step 5: Solve for x
    x = 585,261,720,576/353,176
  6. Step 6: Final answer
    x = 1,657,138.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.