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Finding the Third Proportional to 297,480.94 and 610,802.44

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Solution

The third proportional to 297,480.94 and 610,802.44 is: 1,254,129.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,480.94 : 610,802.44 = 610,802.44 : x
  2. Step 2: Convert to fraction form
    297,480.94/610,802.44 = 610,802.44/x
  3. Step 3: Cross multiply
    297,480.94x = 610,802.44 × 610,802.44
  4. Step 4: Simplify right side
    297,480.94x = 373,079,617,655.94
  5. Step 5: Solve for x
    x = 373,079,617,655.94/297,480.94
  6. Step 6: Final answer
    x = 1,254,129.49

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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.