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Finding the Third Proportional to 298,771.50 and 645,111

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Solution

The third proportional to 298,771.50 and 645,111 is: 1,392,931.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,771.50 : 645,111 = 645,111 : x
  2. Step 2: Convert to fraction form
    298,771.50/645,111 = 645,111/x
  3. Step 3: Cross multiply
    298,771.50x = 645,111 × 645,111
  4. Step 4: Simplify right side
    298,771.50x = 416,168,202,321
  5. Step 5: Solve for x
    x = 416,168,202,321/298,771.50
  6. Step 6: Final answer
    x = 1,392,931.40

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.