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Finding the Third Proportional to 373,021 and 805,008

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Solution

The third proportional to 373,021 and 805,008 is: 1,737,269.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,021 : 805,008 = 805,008 : x
  2. Step 2: Convert to fraction form
    373,021/805,008 = 805,008/x
  3. Step 3: Cross multiply
    373,021x = 805,008 × 805,008
  4. Step 4: Simplify right side
    373,021x = 648,037,880,064
  5. Step 5: Solve for x
    x = 648,037,880,064/373,021
  6. Step 6: Final answer
    x = 1,737,269.16

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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.