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Finding the Third Proportional to 349,582.50 and 529,102.13

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Solution

The third proportional to 349,582.50 and 529,102.13 is: 800,809.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,582.50 : 529,102.13 = 529,102.13 : x
  2. Step 2: Convert to fraction form
    349,582.50/529,102.13 = 529,102.13/x
  3. Step 3: Cross multiply
    349,582.50x = 529,102.13 × 529,102.13
  4. Step 4: Simplify right side
    349,582.50x = 279,949,058,679.52
  5. Step 5: Solve for x
    x = 279,949,058,679.52/349,582.50
  6. Step 6: Final answer
    x = 800,809.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.