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Finding the Third Proportional to 452,566.13 and 671,015.81

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Solution

The third proportional to 452,566.13 and 671,015.81 is: 994,909.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,566.13 : 671,015.81 = 671,015.81 : x
  2. Step 2: Convert to fraction form
    452,566.13/671,015.81 = 671,015.81/x
  3. Step 3: Cross multiply
    452,566.13x = 671,015.81 × 671,015.81
  4. Step 4: Simplify right side
    452,566.13x = 450,262,220,625.04
  5. Step 5: Solve for x
    x = 450,262,220,625.04/452,566.13
  6. Step 6: Final answer
    x = 994,909.24

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.