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Finding the Third Proportional to 297,482.25 and 610,805.25

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Solution

The third proportional to 297,482.25 and 610,805.25 is: 1,254,135.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,482.25 : 610,805.25 = 610,805.25 : x
  2. Step 2: Convert to fraction form
    297,482.25/610,805.25 = 610,805.25/x
  3. Step 3: Cross multiply
    297,482.25x = 610,805.25 × 610,805.25
  4. Step 4: Simplify right side
    297,482.25x = 373,083,053,427.56
  5. Step 5: Solve for x
    x = 373,083,053,427.56/297,482.25
  6. Step 6: Final answer
    x = 1,254,135.51

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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.