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Finding the Third Proportional to 300,192.75 and 456,482.25

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Solution

The third proportional to 300,192.75 and 456,482.25 is: 694,140.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,192.75 : 456,482.25 = 456,482.25 : x
  2. Step 2: Convert to fraction form
    300,192.75/456,482.25 = 456,482.25/x
  3. Step 3: Cross multiply
    300,192.75x = 456,482.25 × 456,482.25
  4. Step 4: Simplify right side
    300,192.75x = 208,376,044,565.06
  5. Step 5: Solve for x
    x = 208,376,044,565.06/300,192.75
  6. Step 6: Final answer
    x = 694,140.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.