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Finding the Third Proportional to 526,536 and 825,129

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Solution

The third proportional to 526,536 and 825,129 is: 1,293,050.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,536 : 825,129 = 825,129 : x
  2. Step 2: Convert to fraction form
    526,536/825,129 = 825,129/x
  3. Step 3: Cross multiply
    526,536x = 825,129 × 825,129
  4. Step 4: Simplify right side
    526,536x = 680,837,866,641
  5. Step 5: Solve for x
    x = 680,837,866,641/526,536
  6. Step 6: Final answer
    x = 1,293,050.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.