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Finding the Third Proportional to 338,752 and 724,176

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Solution

The third proportional to 338,752 and 724,176 is: 1,548,126.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,752 : 724,176 = 724,176 : x
  2. Step 2: Convert to fraction form
    338,752/724,176 = 724,176/x
  3. Step 3: Cross multiply
    338,752x = 724,176 × 724,176
  4. Step 4: Simplify right side
    338,752x = 524,430,878,976
  5. Step 5: Solve for x
    x = 524,430,878,976/338,752
  6. Step 6: Final answer
    x = 1,548,126.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.