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Finding the Third Proportional to 380,752 and 505,413

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Solution

The third proportional to 380,752 and 505,413 is: 670,888.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,752 : 505,413 = 505,413 : x
  2. Step 2: Convert to fraction form
    380,752/505,413 = 505,413/x
  3. Step 3: Cross multiply
    380,752x = 505,413 × 505,413
  4. Step 4: Simplify right side
    380,752x = 255,442,300,569
  5. Step 5: Solve for x
    x = 255,442,300,569/380,752
  6. Step 6: Final answer
    x = 670,888.93

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.