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Finding the Third Proportional to 448,775.50 and 960,605

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Solution

The third proportional to 448,775.50 and 960,605 is: 2,056,177.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,775.50 : 960,605 = 960,605 : x
  2. Step 2: Convert to fraction form
    448,775.50/960,605 = 960,605/x
  3. Step 3: Cross multiply
    448,775.50x = 960,605 × 960,605
  4. Step 4: Simplify right side
    448,775.50x = 922,761,966,025
  5. Step 5: Solve for x
    x = 922,761,966,025/448,775.50
  6. Step 6: Final answer
    x = 2,056,177.23

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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.