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Finding the Third Proportional to 374,145.75 and 570,560.06

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Solution

The third proportional to 374,145.75 and 570,560.06 is: 870,085.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,145.75 : 570,560.06 = 570,560.06 : x
  2. Step 2: Convert to fraction form
    374,145.75/570,560.06 = 570,560.06/x
  3. Step 3: Cross multiply
    374,145.75x = 570,560.06 × 570,560.06
  4. Step 4: Simplify right side
    374,145.75x = 325,538,784,920.00
  5. Step 5: Solve for x
    x = 325,538,784,920.00/374,145.75
  6. Step 6: Final answer
    x = 870,085.48

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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.