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Finding the Third Proportional to 373,164 and 805,272

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Solution

The third proportional to 373,164 and 805,272 is: 1,737,742.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,164 : 805,272 = 805,272 : x
  2. Step 2: Convert to fraction form
    373,164/805,272 = 805,272/x
  3. Step 3: Cross multiply
    373,164x = 805,272 × 805,272
  4. Step 4: Simplify right side
    373,164x = 648,462,993,984
  5. Step 5: Solve for x
    x = 648,462,993,984/373,164
  6. Step 6: Final answer
    x = 1,737,742.64

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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.