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Finding the Third Proportional to 297,054 and 463,806

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Solution

The third proportional to 297,054 and 463,806 is: 724,164.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,054 : 463,806 = 463,806 : x
  2. Step 2: Convert to fraction form
    297,054/463,806 = 463,806/x
  3. Step 3: Cross multiply
    297,054x = 463,806 × 463,806
  4. Step 4: Simplify right side
    297,054x = 215,116,005,636
  5. Step 5: Solve for x
    x = 215,116,005,636/297,054
  6. Step 6: Final answer
    x = 724,164.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.