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Finding the Third Proportional to 368,820 and 569,610

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Solution

The third proportional to 368,820 and 569,610 is: 879,712.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,820 : 569,610 = 569,610 : x
  2. Step 2: Convert to fraction form
    368,820/569,610 = 569,610/x
  3. Step 3: Cross multiply
    368,820x = 569,610 × 569,610
  4. Step 4: Simplify right side
    368,820x = 324,455,552,100
  5. Step 5: Solve for x
    x = 324,455,552,100/368,820
  6. Step 6: Final answer
    x = 879,712.47

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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.