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Finding the Third Proportional to 514,968 and 754,016

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Solution

The third proportional to 514,968 and 754,016 is: 1,104,030.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,968 : 754,016 = 754,016 : x
  2. Step 2: Convert to fraction form
    514,968/754,016 = 754,016/x
  3. Step 3: Cross multiply
    514,968x = 754,016 × 754,016
  4. Step 4: Simplify right side
    514,968x = 568,540,128,256
  5. Step 5: Solve for x
    x = 568,540,128,256/514,968
  6. Step 6: Final answer
    x = 1,104,030.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.