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Finding the Third Proportional to 254,032 and 373,704

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Solution

The third proportional to 254,032 and 373,704 is: 549,752.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,032 : 373,704 = 373,704 : x
  2. Step 2: Convert to fraction form
    254,032/373,704 = 373,704/x
  3. Step 3: Cross multiply
    254,032x = 373,704 × 373,704
  4. Step 4: Simplify right side
    254,032x = 139,654,679,616
  5. Step 5: Solve for x
    x = 139,654,679,616/254,032
  6. Step 6: Final answer
    x = 549,752.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.