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Finding the Third Proportional to 374,697 and 571,383

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Solution

The third proportional to 374,697 and 571,383 is: 871,313.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,697 : 571,383 = 571,383 : x
  2. Step 2: Convert to fraction form
    374,697/571,383 = 571,383/x
  3. Step 3: Cross multiply
    374,697x = 571,383 × 571,383
  4. Step 4: Simplify right side
    374,697x = 326,478,532,689
  5. Step 5: Solve for x
    x = 326,478,532,689/374,697
  6. Step 6: Final answer
    x = 871,313.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.