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Finding the Third Proportional to 359,606 and 775,255

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Solution

The third proportional to 359,606 and 775,255 is: 1,671,330.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,606 : 775,255 = 775,255 : x
  2. Step 2: Convert to fraction form
    359,606/775,255 = 775,255/x
  3. Step 3: Cross multiply
    359,606x = 775,255 × 775,255
  4. Step 4: Simplify right side
    359,606x = 601,020,315,025
  5. Step 5: Solve for x
    x = 601,020,315,025/359,606
  6. Step 6: Final answer
    x = 1,671,330.05

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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.