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Finding the Third Proportional to 365,820 and 562,995

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Solution

The third proportional to 365,820 and 562,995 is: 866,446.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,820 : 562,995 = 562,995 : x
  2. Step 2: Convert to fraction form
    365,820/562,995 = 562,995/x
  3. Step 3: Cross multiply
    365,820x = 562,995 × 562,995
  4. Step 4: Simplify right side
    365,820x = 316,963,370,025
  5. Step 5: Solve for x
    x = 316,963,370,025/365,820
  6. Step 6: Final answer
    x = 866,446.26

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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.