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Finding the Third Proportional to 344,774.29 and 473,266.23

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Solution

The third proportional to 344,774.29 and 473,266.23 is: 649,645.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,774.29 : 473,266.23 = 473,266.23 : x
  2. Step 2: Convert to fraction form
    344,774.29/473,266.23 = 473,266.23/x
  3. Step 3: Cross multiply
    344,774.29x = 473,266.23 × 473,266.23
  4. Step 4: Simplify right side
    344,774.29x = 223,980,924,902.10
  5. Step 5: Solve for x
    x = 223,980,924,902.10/344,774.29
  6. Step 6: Final answer
    x = 649,645.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.