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Finding the Third Proportional to 631,261.69 and 979,457.06

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Solution

The third proportional to 631,261.69 and 979,457.06 is: 1,519,712.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,261.69 : 979,457.06 = 979,457.06 : x
  2. Step 2: Convert to fraction form
    631,261.69/979,457.06 = 979,457.06/x
  3. Step 3: Cross multiply
    631,261.69x = 979,457.06 × 979,457.06
  4. Step 4: Simplify right side
    631,261.69x = 959,336,137,281.13
  5. Step 5: Solve for x
    x = 959,336,137,281.13/631,261.69
  6. Step 6: Final answer
    x = 1,519,712.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.