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Finding the Third Proportional to 376,528.50 and 565,614

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Solution

The third proportional to 376,528.50 and 565,614 is: 849,654.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,528.50 : 565,614 = 565,614 : x
  2. Step 2: Convert to fraction form
    376,528.50/565,614 = 565,614/x
  3. Step 3: Cross multiply
    376,528.50x = 565,614 × 565,614
  4. Step 4: Simplify right side
    376,528.50x = 319,919,196,996
  5. Step 5: Solve for x
    x = 319,919,196,996/376,528.50
  6. Step 6: Final answer
    x = 849,654.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.