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Finding the Third Proportional to 359,607 and 775,257

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Solution

The third proportional to 359,607 and 775,257 is: 1,671,334.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,607 : 775,257 = 775,257 : x
  2. Step 2: Convert to fraction form
    359,607/775,257 = 775,257/x
  3. Step 3: Cross multiply
    359,607x = 775,257 × 775,257
  4. Step 4: Simplify right side
    359,607x = 601,023,416,049
  5. Step 5: Solve for x
    x = 601,023,416,049/359,607
  6. Step 6: Final answer
    x = 1,671,334.03

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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.