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Finding the Third Proportional to 358,266 and 755,409

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Solution

The third proportional to 358,266 and 755,409 is: 1,592,790.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,266 : 755,409 = 755,409 : x
  2. Step 2: Convert to fraction form
    358,266/755,409 = 755,409/x
  3. Step 3: Cross multiply
    358,266x = 755,409 × 755,409
  4. Step 4: Simplify right side
    358,266x = 570,642,757,281
  5. Step 5: Solve for x
    x = 570,642,757,281/358,266
  6. Step 6: Final answer
    x = 1,592,790.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.