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Finding the Third Proportional to 374,701.50 and 571,437

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Solution

The third proportional to 374,701.50 and 571,437 is: 871,467.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,701.50 : 571,437 = 571,437 : x
  2. Step 2: Convert to fraction form
    374,701.50/571,437 = 571,437/x
  3. Step 3: Cross multiply
    374,701.50x = 571,437 × 571,437
  4. Step 4: Simplify right side
    374,701.50x = 326,540,244,969
  5. Step 5: Solve for x
    x = 326,540,244,969/374,701.50
  6. Step 6: Final answer
    x = 871,467.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.