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Finding the Third Proportional to 374,789 and 575,722

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Solution

The third proportional to 374,789 and 575,722 is: 884,379.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,789 : 575,722 = 575,722 : x
  2. Step 2: Convert to fraction form
    374,789/575,722 = 575,722/x
  3. Step 3: Cross multiply
    374,789x = 575,722 × 575,722
  4. Step 4: Simplify right side
    374,789x = 331,455,821,284
  5. Step 5: Solve for x
    x = 331,455,821,284/374,789
  6. Step 6: Final answer
    x = 884,379.80

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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.