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Finding the Third Proportional to 375,911 and 575,775

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Solution

The third proportional to 375,911 and 575,775 is: 881,902.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,911 : 575,775 = 575,775 : x
  2. Step 2: Convert to fraction form
    375,911/575,775 = 575,775/x
  3. Step 3: Cross multiply
    375,911x = 575,775 × 575,775
  4. Step 4: Simplify right side
    375,911x = 331,516,850,625
  5. Step 5: Solve for x
    x = 331,516,850,625/375,911
  6. Step 6: Final answer
    x = 881,902.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.