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Finding the Third Proportional to 265,590 and 575,433

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Solution

The third proportional to 265,590 and 575,433 is: 1,246,745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,590 : 575,433 = 575,433 : x
  2. Step 2: Convert to fraction form
    265,590/575,433 = 575,433/x
  3. Step 3: Cross multiply
    265,590x = 575,433 × 575,433
  4. Step 4: Simplify right side
    265,590x = 331,123,137,489
  5. Step 5: Solve for x
    x = 331,123,137,489/265,590
  6. Step 6: Final answer
    x = 1,246,745.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.