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Finding the Third Proportional to 298,704 and 473,211

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Solution

The third proportional to 298,704 and 473,211 is: 749,667.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,704 : 473,211 = 473,211 : x
  2. Step 2: Convert to fraction form
    298,704/473,211 = 473,211/x
  3. Step 3: Cross multiply
    298,704x = 473,211 × 473,211
  4. Step 4: Simplify right side
    298,704x = 223,928,650,521
  5. Step 5: Solve for x
    x = 223,928,650,521/298,704
  6. Step 6: Final answer
    x = 749,667.40

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.