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Finding the Third Proportional to 374,828 and 576,580

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Solution

The third proportional to 374,828 and 576,580 is: 886,925.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,828 : 576,580 = 576,580 : x
  2. Step 2: Convert to fraction form
    374,828/576,580 = 576,580/x
  3. Step 3: Cross multiply
    374,828x = 576,580 × 576,580
  4. Step 4: Simplify right side
    374,828x = 332,444,496,400
  5. Step 5: Solve for x
    x = 332,444,496,400/374,828
  6. Step 6: Final answer
    x = 886,925.46

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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.