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Finding the Third Proportional to 247,389.19 and 540,325.13

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Solution

The third proportional to 247,389.19 and 540,325.13 is: 1,180,129.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,389.19 : 540,325.13 = 540,325.13 : x
  2. Step 2: Convert to fraction form
    247,389.19/540,325.13 = 540,325.13/x
  3. Step 3: Cross multiply
    247,389.19x = 540,325.13 × 540,325.13
  4. Step 4: Simplify right side
    247,389.19x = 291,951,240,706.27
  5. Step 5: Solve for x
    x = 291,951,240,706.27/247,389.19
  6. Step 6: Final answer
    x = 1,180,129.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.