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Finding the Third Proportional to 514,980 and 754,038

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Solution

The third proportional to 514,980 and 754,038 is: 1,104,068.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,980 : 754,038 = 754,038 : x
  2. Step 2: Convert to fraction form
    514,980/754,038 = 754,038/x
  3. Step 3: Cross multiply
    514,980x = 754,038 × 754,038
  4. Step 4: Simplify right side
    514,980x = 568,573,305,444
  5. Step 5: Solve for x
    x = 568,573,305,444/514,980
  6. Step 6: Final answer
    x = 1,104,068.71

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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.