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Finding the Third Proportional to 352,775.25 and 514,370.25

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Solution

The third proportional to 352,775.25 and 514,370.25 is: 749,986.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,775.25 : 514,370.25 = 514,370.25 : x
  2. Step 2: Convert to fraction form
    352,775.25/514,370.25 = 514,370.25/x
  3. Step 3: Cross multiply
    352,775.25x = 514,370.25 × 514,370.25
  4. Step 4: Simplify right side
    352,775.25x = 264,576,754,085.06
  5. Step 5: Solve for x
    x = 264,576,754,085.06/352,775.25
  6. Step 6: Final answer
    x = 749,986.72

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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.