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Finding the Third Proportional to 298,691.25 and 473,194.50

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Solution

The third proportional to 298,691.25 and 473,194.50 is: 749,647.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,691.25 : 473,194.50 = 473,194.50 : x
  2. Step 2: Convert to fraction form
    298,691.25/473,194.50 = 473,194.50/x
  3. Step 3: Cross multiply
    298,691.25x = 473,194.50 × 473,194.50
  4. Step 4: Simplify right side
    298,691.25x = 223,913,034,830.25
  5. Step 5: Solve for x
    x = 223,913,034,830.25/298,691.25
  6. Step 6: Final answer
    x = 749,647.12

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