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Finding the Third Proportional to 290,172 and 443,598

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Solution

The third proportional to 290,172 and 443,598 is: 678,146.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,172 : 443,598 = 443,598 : x
  2. Step 2: Convert to fraction form
    290,172/443,598 = 443,598/x
  3. Step 3: Cross multiply
    290,172x = 443,598 × 443,598
  4. Step 4: Simplify right side
    290,172x = 196,779,185,604
  5. Step 5: Solve for x
    x = 196,779,185,604/290,172
  6. Step 6: Final answer
    x = 678,146.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.