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Finding the Third Proportional to 537,627 and 794,101.50

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Solution

The third proportional to 537,627 and 794,101.50 is: 1,172,926.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,627 : 794,101.50 = 794,101.50 : x
  2. Step 2: Convert to fraction form
    537,627/794,101.50 = 794,101.50/x
  3. Step 3: Cross multiply
    537,627x = 794,101.50 × 794,101.50
  4. Step 4: Simplify right side
    537,627x = 630,597,192,302.25
  5. Step 5: Solve for x
    x = 630,597,192,302.25/537,627
  6. Step 6: Final answer
    x = 1,172,926.94

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.