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Finding the Third Proportional to 486,416.25 and 777,043.13

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Solution

The third proportional to 486,416.25 and 777,043.13 is: 1,241,315.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,416.25 : 777,043.13 = 777,043.13 : x
  2. Step 2: Convert to fraction form
    486,416.25/777,043.13 = 777,043.13/x
  3. Step 3: Cross multiply
    486,416.25x = 777,043.13 × 777,043.13
  4. Step 4: Simplify right side
    486,416.25x = 603,796,018,109.77
  5. Step 5: Solve for x
    x = 603,796,018,109.77/486,416.25
  6. Step 6: Final answer
    x = 1,241,315.47

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.