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Finding the Third Proportional to 514,969 and 754,017

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Solution

The third proportional to 514,969 and 754,017 is: 1,104,030.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,969 : 754,017 = 754,017 : x
  2. Step 2: Convert to fraction form
    514,969/754,017 = 754,017/x
  3. Step 3: Cross multiply
    514,969x = 754,017 × 754,017
  4. Step 4: Simplify right side
    514,969x = 568,541,636,289
  5. Step 5: Solve for x
    x = 568,541,636,289/514,969
  6. Step 6: Final answer
    x = 1,104,030.80

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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.