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Finding the Third Proportional to 527,232 and 1,159,296

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Solution

The third proportional to 527,232 and 1,159,296 is: 2,549,100.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,232 : 1,159,296 = 1,159,296 : x
  2. Step 2: Convert to fraction form
    527,232/1,159,296 = 1,159,296/x
  3. Step 3: Cross multiply
    527,232x = 1,159,296 × 1,159,296
  4. Step 4: Simplify right side
    527,232x = 1,343,967,215,616
  5. Step 5: Solve for x
    x = 1,343,967,215,616/527,232
  6. Step 6: Final answer
    x = 2,549,100.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.