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Finding the Third Proportional to 449,025 and 960,312

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Solution

The third proportional to 449,025 and 960,312 is: 2,053,781.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,025 : 960,312 = 960,312 : x
  2. Step 2: Convert to fraction form
    449,025/960,312 = 960,312/x
  3. Step 3: Cross multiply
    449,025x = 960,312 × 960,312
  4. Step 4: Simplify right side
    449,025x = 922,199,137,344
  5. Step 5: Solve for x
    x = 922,199,137,344/449,025
  6. Step 6: Final answer
    x = 2,053,781.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.