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Finding the Third Proportional to 316,980 and 648,533.25

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Solution

The third proportional to 316,980 and 648,533.25 is: 1,326,883.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,980 : 648,533.25 = 648,533.25 : x
  2. Step 2: Convert to fraction form
    316,980/648,533.25 = 648,533.25/x
  3. Step 3: Cross multiply
    316,980x = 648,533.25 × 648,533.25
  4. Step 4: Simplify right side
    316,980x = 420,595,376,355.56
  5. Step 5: Solve for x
    x = 420,595,376,355.56/316,980
  6. Step 6: Final answer
    x = 1,326,883.01

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.