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Finding the Third Proportional to 298,726 and 473,247

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Solution

The third proportional to 298,726 and 473,247 is: 749,726.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,726 : 473,247 = 473,247 : x
  2. Step 2: Convert to fraction form
    298,726/473,247 = 473,247/x
  3. Step 3: Cross multiply
    298,726x = 473,247 × 473,247
  4. Step 4: Simplify right side
    298,726x = 223,962,723,009
  5. Step 5: Solve for x
    x = 223,962,723,009/298,726
  6. Step 6: Final answer
    x = 749,726.25

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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.