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Finding the Third Proportional to 365,446.69 and 562,433.63

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Solution

The third proportional to 365,446.69 and 562,433.63 is: 865,602.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,446.69 : 562,433.63 = 562,433.63 : x
  2. Step 2: Convert to fraction form
    365,446.69/562,433.63 = 562,433.63/x
  3. Step 3: Cross multiply
    365,446.69x = 562,433.63 × 562,433.63
  4. Step 4: Simplify right side
    365,446.69x = 316,331,582,530.64
  5. Step 5: Solve for x
    x = 316,331,582,530.64/365,446.69
  6. Step 6: Final answer
    x = 865,602.54

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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.