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Finding the Third Proportional to 595,179 and 850,768

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Solution

The third proportional to 595,179 and 850,768 is: 1,216,115.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,179 : 850,768 = 850,768 : x
  2. Step 2: Convert to fraction form
    595,179/850,768 = 850,768/x
  3. Step 3: Cross multiply
    595,179x = 850,768 × 850,768
  4. Step 4: Simplify right side
    595,179x = 723,806,189,824
  5. Step 5: Solve for x
    x = 723,806,189,824/595,179
  6. Step 6: Final answer
    x = 1,216,115.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.