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Finding the Third Proportional to 252,913.22 and 529,210.13

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Solution

The third proportional to 252,913.22 and 529,210.13 is: 1,107,349.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,913.22 : 529,210.13 = 529,210.13 : x
  2. Step 2: Convert to fraction form
    252,913.22/529,210.13 = 529,210.13/x
  3. Step 3: Cross multiply
    252,913.22x = 529,210.13 × 529,210.13
  4. Step 4: Simplify right side
    252,913.22x = 280,063,356,402.52
  5. Step 5: Solve for x
    x = 280,063,356,402.52/252,913.22
  6. Step 6: Final answer
    x = 1,107,349.62

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.