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Finding the Third Proportional to 514,962 and 754,008

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Solution

The third proportional to 514,962 and 754,008 is: 1,104,019.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,962 : 754,008 = 754,008 : x
  2. Step 2: Convert to fraction form
    514,962/754,008 = 754,008/x
  3. Step 3: Cross multiply
    514,962x = 754,008 × 754,008
  4. Step 4: Simplify right side
    514,962x = 568,528,064,064
  5. Step 5: Solve for x
    x = 568,528,064,064/514,962
  6. Step 6: Final answer
    x = 1,104,019.45

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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.