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Finding the Third Proportional to 298,701 and 473,208

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Solution

The third proportional to 298,701 and 473,208 is: 749,665.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,701 : 473,208 = 473,208 : x
  2. Step 2: Convert to fraction form
    298,701/473,208 = 473,208/x
  3. Step 3: Cross multiply
    298,701x = 473,208 × 473,208
  4. Step 4: Simplify right side
    298,701x = 223,925,811,264
  5. Step 5: Solve for x
    x = 223,925,811,264/298,701
  6. Step 6: Final answer
    x = 749,665.42

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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.