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Finding the Third Proportional to 333,348 and 719,184

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Solution

The third proportional to 333,348 and 719,184 is: 1,551,608.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,348 : 719,184 = 719,184 : x
  2. Step 2: Convert to fraction form
    333,348/719,184 = 719,184/x
  3. Step 3: Cross multiply
    333,348x = 719,184 × 719,184
  4. Step 4: Simplify right side
    333,348x = 517,225,625,856
  5. Step 5: Solve for x
    x = 517,225,625,856/333,348
  6. Step 6: Final answer
    x = 1,551,608.61

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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.