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Finding the Third Proportional to 535,838 and 749,181

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Solution

The third proportional to 535,838 and 749,181 is: 1,047,466.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,838 : 749,181 = 749,181 : x
  2. Step 2: Convert to fraction form
    535,838/749,181 = 749,181/x
  3. Step 3: Cross multiply
    535,838x = 749,181 × 749,181
  4. Step 4: Simplify right side
    535,838x = 561,272,170,761
  5. Step 5: Solve for x
    x = 561,272,170,761/535,838
  6. Step 6: Final answer
    x = 1,047,466.16

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.