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Finding the Third Proportional to 450,528 and 629,865

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Solution

The third proportional to 450,528 and 629,865 is: 880,588.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,528 : 629,865 = 629,865 : x
  2. Step 2: Convert to fraction form
    450,528/629,865 = 629,865/x
  3. Step 3: Cross multiply
    450,528x = 629,865 × 629,865
  4. Step 4: Simplify right side
    450,528x = 396,729,918,225
  5. Step 5: Solve for x
    x = 396,729,918,225/450,528
  6. Step 6: Final answer
    x = 880,588.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.