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Finding the Third Proportional to 757,344.75 and 1,164,007.50

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Solution

The third proportional to 757,344.75 and 1,164,007.50 is: 1,789,031.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,344.75 : 1,164,007.50 = 1,164,007.50 : x
  2. Step 2: Convert to fraction form
    757,344.75/1,164,007.50 = 1,164,007.50/x
  3. Step 3: Cross multiply
    757,344.75x = 1,164,007.50 × 1,164,007.50
  4. Step 4: Simplify right side
    757,344.75x = 1,354,913,460,056.25
  5. Step 5: Solve for x
    x = 1,354,913,460,056.25/757,344.75
  6. Step 6: Final answer
    x = 1,789,031.30

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.