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Finding the Third Proportional to 374,193 and 575,127

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Solution

The third proportional to 374,193 and 575,127 is: 883,958.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,193 : 575,127 = 575,127 : x
  2. Step 2: Convert to fraction form
    374,193/575,127 = 575,127/x
  3. Step 3: Cross multiply
    374,193x = 575,127 × 575,127
  4. Step 4: Simplify right side
    374,193x = 330,771,066,129
  5. Step 5: Solve for x
    x = 330,771,066,129/374,193
  6. Step 6: Final answer
    x = 883,958.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.