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Finding the Third Proportional to 367,308 and 805,032

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Solution

The third proportional to 367,308 and 805,032 is: 1,764,395.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,308 : 805,032 = 805,032 : x
  2. Step 2: Convert to fraction form
    367,308/805,032 = 805,032/x
  3. Step 3: Cross multiply
    367,308x = 805,032 × 805,032
  4. Step 4: Simplify right side
    367,308x = 648,076,521,024
  5. Step 5: Solve for x
    x = 648,076,521,024/367,308
  6. Step 6: Final answer
    x = 1,764,395.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.