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Finding the Third Proportional to 373,459 and 574,031

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Solution

The third proportional to 373,459 and 574,031 is: 882,323.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,459 : 574,031 = 574,031 : x
  2. Step 2: Convert to fraction form
    373,459/574,031 = 574,031/x
  3. Step 3: Cross multiply
    373,459x = 574,031 × 574,031
  4. Step 4: Simplify right side
    373,459x = 329,511,588,961
  5. Step 5: Solve for x
    x = 329,511,588,961/373,459
  6. Step 6: Final answer
    x = 882,323.33

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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.