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Finding the Third Proportional to 344,620 and 529,572

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Solution

The third proportional to 344,620 and 529,572 is: 813,784.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,620 : 529,572 = 529,572 : x
  2. Step 2: Convert to fraction form
    344,620/529,572 = 529,572/x
  3. Step 3: Cross multiply
    344,620x = 529,572 × 529,572
  4. Step 4: Simplify right side
    344,620x = 280,446,503,184
  5. Step 5: Solve for x
    x = 280,446,503,184/344,620
  6. Step 6: Final answer
    x = 813,784.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.