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Finding the Third Proportional to 233,478 and 364,797

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Solution

The third proportional to 233,478 and 364,797 is: 569,975.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,478 : 364,797 = 364,797 : x
  2. Step 2: Convert to fraction form
    233,478/364,797 = 364,797/x
  3. Step 3: Cross multiply
    233,478x = 364,797 × 364,797
  4. Step 4: Simplify right side
    233,478x = 133,076,851,209
  5. Step 5: Solve for x
    x = 133,076,851,209/233,478
  6. Step 6: Final answer
    x = 569,975.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.