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Finding the Third Proportional to 541,466 and 793,729

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Solution

The third proportional to 541,466 and 793,729 is: 1,163,518.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,466 : 793,729 = 793,729 : x
  2. Step 2: Convert to fraction form
    541,466/793,729 = 793,729/x
  3. Step 3: Cross multiply
    541,466x = 793,729 × 793,729
  4. Step 4: Simplify right side
    541,466x = 630,005,725,441
  5. Step 5: Solve for x
    x = 630,005,725,441/541,466
  6. Step 6: Final answer
    x = 1,163,518.53

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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.