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Finding the Third Proportional to 375,172 and 565,995

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Solution

The third proportional to 375,172 and 565,995 is: 853,875.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,172 : 565,995 = 565,995 : x
  2. Step 2: Convert to fraction form
    375,172/565,995 = 565,995/x
  3. Step 3: Cross multiply
    375,172x = 565,995 × 565,995
  4. Step 4: Simplify right side
    375,172x = 320,350,340,025
  5. Step 5: Solve for x
    x = 320,350,340,025/375,172
  6. Step 6: Final answer
    x = 853,875.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.