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Finding the Third Proportional to 240,429.94 and 513,038.81

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Solution

The third proportional to 240,429.94 and 513,038.81 is: 1,094,742.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,429.94 : 513,038.81 = 513,038.81 : x
  2. Step 2: Convert to fraction form
    240,429.94/513,038.81 = 513,038.81/x
  3. Step 3: Cross multiply
    240,429.94x = 513,038.81 × 513,038.81
  4. Step 4: Simplify right side
    240,429.94x = 263,208,823,131.41
  5. Step 5: Solve for x
    x = 263,208,823,131.41/240,429.94
  6. Step 6: Final answer
    x = 1,094,742.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.