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Finding the Third Proportional to 367,142.63 and 567,389.81

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Solution

The third proportional to 367,142.63 and 567,389.81 is: 876,855.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,142.63 : 567,389.81 = 567,389.81 : x
  2. Step 2: Convert to fraction form
    367,142.63/567,389.81 = 567,389.81/x
  3. Step 3: Cross multiply
    367,142.63x = 567,389.81 × 567,389.81
  4. Step 4: Simplify right side
    367,142.63x = 321,931,199,328.79
  5. Step 5: Solve for x
    x = 321,931,199,328.79/367,142.63
  6. Step 6: Final answer
    x = 876,855.96

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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.