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Finding the Third Proportional to 255,975 and 556,623.75

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Solution

The third proportional to 255,975 and 556,623.75 is: 1,210,391.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,975 : 556,623.75 = 556,623.75 : x
  2. Step 2: Convert to fraction form
    255,975/556,623.75 = 556,623.75/x
  3. Step 3: Cross multiply
    255,975x = 556,623.75 × 556,623.75
  4. Step 4: Simplify right side
    255,975x = 309,829,999,064.06
  5. Step 5: Solve for x
    x = 309,829,999,064.06/255,975
  6. Step 6: Final answer
    x = 1,210,391.64

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.