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Finding the Third Proportional to 298,696.50 and 473,202

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Solution

The third proportional to 298,696.50 and 473,202 is: 749,657.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,696.50 : 473,202 = 473,202 : x
  2. Step 2: Convert to fraction form
    298,696.50/473,202 = 473,202/x
  3. Step 3: Cross multiply
    298,696.50x = 473,202 × 473,202
  4. Step 4: Simplify right side
    298,696.50x = 223,920,132,804
  5. Step 5: Solve for x
    x = 223,920,132,804/298,696.50
  6. Step 6: Final answer
    x = 749,657.71

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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.