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Finding the Third Proportional to 373,699 and 580,239

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Solution

The third proportional to 373,699 and 580,239 is: 900,931.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,699 : 580,239 = 580,239 : x
  2. Step 2: Convert to fraction form
    373,699/580,239 = 580,239/x
  3. Step 3: Cross multiply
    373,699x = 580,239 × 580,239
  4. Step 4: Simplify right side
    373,699x = 336,677,297,121
  5. Step 5: Solve for x
    x = 336,677,297,121/373,699
  6. Step 6: Final answer
    x = 900,931.76

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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.