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Finding the Third Proportional to 260,064 and 546,264

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Solution

The third proportional to 260,064 and 546,264 is: 1,147,426.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,064 : 546,264 = 546,264 : x
  2. Step 2: Convert to fraction form
    260,064/546,264 = 546,264/x
  3. Step 3: Cross multiply
    260,064x = 546,264 × 546,264
  4. Step 4: Simplify right side
    260,064x = 298,404,357,696
  5. Step 5: Solve for x
    x = 298,404,357,696/260,064
  6. Step 6: Final answer
    x = 1,147,426.62

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.