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Finding the Third Proportional to 541,464 and 793,726

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Solution

The third proportional to 541,464 and 793,726 is: 1,163,514.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,464 : 793,726 = 793,726 : x
  2. Step 2: Convert to fraction form
    541,464/793,726 = 793,726/x
  3. Step 3: Cross multiply
    541,464x = 793,726 × 793,726
  4. Step 4: Simplify right side
    541,464x = 630,000,963,076
  5. Step 5: Solve for x
    x = 630,000,963,076/541,464
  6. Step 6: Final answer
    x = 1,163,514.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.