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Finding the Third Proportional to 298,711 and 473,222

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Solution

The third proportional to 298,711 and 473,222 is: 749,684.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,711 : 473,222 = 473,222 : x
  2. Step 2: Convert to fraction form
    298,711/473,222 = 473,222/x
  3. Step 3: Cross multiply
    298,711x = 473,222 × 473,222
  4. Step 4: Simplify right side
    298,711x = 223,939,061,284
  5. Step 5: Solve for x
    x = 223,939,061,284/298,711
  6. Step 6: Final answer
    x = 749,684.68

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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.