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Finding the Third Proportional to 373,955 and 580,139

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Solution

The third proportional to 373,955 and 580,139 is: 900,004.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,955 : 580,139 = 580,139 : x
  2. Step 2: Convert to fraction form
    373,955/580,139 = 580,139/x
  3. Step 3: Cross multiply
    373,955x = 580,139 × 580,139
  4. Step 4: Simplify right side
    373,955x = 336,561,259,321
  5. Step 5: Solve for x
    x = 336,561,259,321/373,955
  6. Step 6: Final answer
    x = 900,004.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.