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Finding the Third Proportional to 365,809.92 and 562,981.64

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Solution

The third proportional to 365,809.92 and 562,981.64 is: 866,429.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,809.92 : 562,981.64 = 562,981.64 : x
  2. Step 2: Convert to fraction form
    365,809.92/562,981.64 = 562,981.64/x
  3. Step 3: Cross multiply
    365,809.92x = 562,981.64 × 562,981.64
  4. Step 4: Simplify right side
    365,809.92x = 316,948,327,680.82
  5. Step 5: Solve for x
    x = 316,948,327,680.82/365,809.92
  6. Step 6: Final answer
    x = 866,429.01

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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.