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Finding the Third Proportional to 365,449 and 562,437

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Solution

The third proportional to 365,449 and 562,437 is: 865,607.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,449 : 562,437 = 562,437 : x
  2. Step 2: Convert to fraction form
    365,449/562,437 = 562,437/x
  3. Step 3: Cross multiply
    365,449x = 562,437 × 562,437
  4. Step 4: Simplify right side
    365,449x = 316,335,378,969
  5. Step 5: Solve for x
    x = 316,335,378,969/365,449
  6. Step 6: Final answer
    x = 865,607.46

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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.