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Finding the Third Proportional to 244,251 and 531,513

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Solution

The third proportional to 244,251 and 531,513 is: 1,156,621.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,251 : 531,513 = 531,513 : x
  2. Step 2: Convert to fraction form
    244,251/531,513 = 531,513/x
  3. Step 3: Cross multiply
    244,251x = 531,513 × 531,513
  4. Step 4: Simplify right side
    244,251x = 282,506,069,169
  5. Step 5: Solve for x
    x = 282,506,069,169/244,251
  6. Step 6: Final answer
    x = 1,156,621.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.