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Finding the Third Proportional to 450,572 and 629,929

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Solution

The third proportional to 450,572 and 629,929 is: 880,681.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,572 : 629,929 = 629,929 : x
  2. Step 2: Convert to fraction form
    450,572/629,929 = 629,929/x
  3. Step 3: Cross multiply
    450,572x = 629,929 × 629,929
  4. Step 4: Simplify right side
    450,572x = 396,810,545,041
  5. Step 5: Solve for x
    x = 396,810,545,041/450,572
  6. Step 6: Final answer
    x = 880,681.77

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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.