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Finding the Third Proportional to 365,822 and 562,998

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Solution

The third proportional to 365,822 and 562,998 is: 866,450.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,822 : 562,998 = 562,998 : x
  2. Step 2: Convert to fraction form
    365,822/562,998 = 562,998/x
  3. Step 3: Cross multiply
    365,822x = 562,998 × 562,998
  4. Step 4: Simplify right side
    365,822x = 316,966,748,004
  5. Step 5: Solve for x
    x = 316,966,748,004/365,822
  6. Step 6: Final answer
    x = 866,450.75

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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.