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Finding the Third Proportional to 367,137 and 571,646

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Solution

The third proportional to 367,137 and 571,646 is: 890,074.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,137 : 571,646 = 571,646 : x
  2. Step 2: Convert to fraction form
    367,137/571,646 = 571,646/x
  3. Step 3: Cross multiply
    367,137x = 571,646 × 571,646
  4. Step 4: Simplify right side
    367,137x = 326,779,149,316
  5. Step 5: Solve for x
    x = 326,779,149,316/367,137
  6. Step 6: Final answer
    x = 890,074.14

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