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Finding the Third Proportional to 367,056 and 567,312

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Solution

The third proportional to 367,056 and 567,312 is: 876,822.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,056 : 567,312 = 567,312 : x
  2. Step 2: Convert to fraction form
    367,056/567,312 = 567,312/x
  3. Step 3: Cross multiply
    367,056x = 567,312 × 567,312
  4. Step 4: Simplify right side
    367,056x = 321,842,905,344
  5. Step 5: Solve for x
    x = 321,842,905,344/367,056
  6. Step 6: Final answer
    x = 876,822.35

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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.