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Finding the Third Proportional to 351,232 and 565,632

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Solution

The third proportional to 351,232 and 565,632 is: 910,906.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,232 : 565,632 = 565,632 : x
  2. Step 2: Convert to fraction form
    351,232/565,632 = 565,632/x
  3. Step 3: Cross multiply
    351,232x = 565,632 × 565,632
  4. Step 4: Simplify right side
    351,232x = 319,939,559,424
  5. Step 5: Solve for x
    x = 319,939,559,424/351,232
  6. Step 6: Final answer
    x = 910,906.64

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.