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Finding the Third Proportional to 332,973 and 722,502

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Solution

The third proportional to 332,973 and 722,502 is: 1,567,722.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,973 : 722,502 = 722,502 : x
  2. Step 2: Convert to fraction form
    332,973/722,502 = 722,502/x
  3. Step 3: Cross multiply
    332,973x = 722,502 × 722,502
  4. Step 4: Simplify right side
    332,973x = 522,009,140,004
  5. Step 5: Solve for x
    x = 522,009,140,004/332,973
  6. Step 6: Final answer
    x = 1,567,722.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.