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Finding the Third Proportional to 374,158 and 570,577

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Solution

The third proportional to 374,158 and 570,577 is: 870,108.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,158 : 570,577 = 570,577 : x
  2. Step 2: Convert to fraction form
    374,158/570,577 = 570,577/x
  3. Step 3: Cross multiply
    374,158x = 570,577 × 570,577
  4. Step 4: Simplify right side
    374,158x = 325,558,112,929
  5. Step 5: Solve for x
    x = 325,558,112,929/374,158
  6. Step 6: Final answer
    x = 870,108.65

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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.