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Finding the Third Proportional to 590,159 and 911,279

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Solution

The third proportional to 590,159 and 911,279 is: 1,407,128.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,159 : 911,279 = 911,279 : x
  2. Step 2: Convert to fraction form
    590,159/911,279 = 911,279/x
  3. Step 3: Cross multiply
    590,159x = 911,279 × 911,279
  4. Step 4: Simplify right side
    590,159x = 830,429,415,841
  5. Step 5: Solve for x
    x = 830,429,415,841/590,159
  6. Step 6: Final answer
    x = 1,407,128.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.