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Finding the Third Proportional to 643,256 and 960,024

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Solution

The third proportional to 643,256 and 960,024 is: 1,432,782.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,256 : 960,024 = 960,024 : x
  2. Step 2: Convert to fraction form
    643,256/960,024 = 960,024/x
  3. Step 3: Cross multiply
    643,256x = 960,024 × 960,024
  4. Step 4: Simplify right side
    643,256x = 921,646,080,576
  5. Step 5: Solve for x
    x = 921,646,080,576/643,256
  6. Step 6: Final answer
    x = 1,432,782.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.