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Finding the Third Proportional to 294,507 and 472,512

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Solution

The third proportional to 294,507 and 472,512 is: 758,106.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,507 : 472,512 = 472,512 : x
  2. Step 2: Convert to fraction form
    294,507/472,512 = 472,512/x
  3. Step 3: Cross multiply
    294,507x = 472,512 × 472,512
  4. Step 4: Simplify right side
    294,507x = 223,267,590,144
  5. Step 5: Solve for x
    x = 223,267,590,144/294,507
  6. Step 6: Final answer
    x = 758,106.23

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.