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Finding the Third Proportional to 373,798 and 559,148

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Solution

The third proportional to 373,798 and 559,148 is: 836,404.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,798 : 559,148 = 559,148 : x
  2. Step 2: Convert to fraction form
    373,798/559,148 = 559,148/x
  3. Step 3: Cross multiply
    373,798x = 559,148 × 559,148
  4. Step 4: Simplify right side
    373,798x = 312,646,485,904
  5. Step 5: Solve for x
    x = 312,646,485,904/373,798
  6. Step 6: Final answer
    x = 836,404.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.