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Finding the Third Proportional to 332,820 and 718,124

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Solution

The third proportional to 332,820 and 718,124 is: 1,549,492.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,820 : 718,124 = 718,124 : x
  2. Step 2: Convert to fraction form
    332,820/718,124 = 718,124/x
  3. Step 3: Cross multiply
    332,820x = 718,124 × 718,124
  4. Step 4: Simplify right side
    332,820x = 515,702,079,376
  5. Step 5: Solve for x
    x = 515,702,079,376/332,820
  6. Step 6: Final answer
    x = 1,549,492.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.