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Finding the Third Proportional to 293,752 and 439,513

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Solution

The third proportional to 293,752 and 439,513 is: 657,601.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,752 : 439,513 = 439,513 : x
  2. Step 2: Convert to fraction form
    293,752/439,513 = 439,513/x
  3. Step 3: Cross multiply
    293,752x = 439,513 × 439,513
  4. Step 4: Simplify right side
    293,752x = 193,171,677,169
  5. Step 5: Solve for x
    x = 193,171,677,169/293,752
  6. Step 6: Final answer
    x = 657,601.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.