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Finding the Third Proportional to 526,458 and 832,903

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Solution

The third proportional to 526,458 and 832,903 is: 1,317,726.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,458 : 832,903 = 832,903 : x
  2. Step 2: Convert to fraction form
    526,458/832,903 = 832,903/x
  3. Step 3: Cross multiply
    526,458x = 832,903 × 832,903
  4. Step 4: Simplify right side
    526,458x = 693,727,407,409
  5. Step 5: Solve for x
    x = 693,727,407,409/526,458
  6. Step 6: Final answer
    x = 1,317,726.02

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.