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Finding the Third Proportional to 372,369 and 803,774

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Solution

The third proportional to 372,369 and 803,774 is: 1,734,979.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,369 : 803,774 = 803,774 : x
  2. Step 2: Convert to fraction form
    372,369/803,774 = 803,774/x
  3. Step 3: Cross multiply
    372,369x = 803,774 × 803,774
  4. Step 4: Simplify right side
    372,369x = 646,052,643,076
  5. Step 5: Solve for x
    x = 646,052,643,076/372,369
  6. Step 6: Final answer
    x = 1,734,979.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.