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Finding the Third Proportional to 307,146 and 465,017

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Solution

The third proportional to 307,146 and 465,017 is: 704,032.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,146 : 465,017 = 465,017 : x
  2. Step 2: Convert to fraction form
    307,146/465,017 = 465,017/x
  3. Step 3: Cross multiply
    307,146x = 465,017 × 465,017
  4. Step 4: Simplify right side
    307,146x = 216,240,810,289
  5. Step 5: Solve for x
    x = 216,240,810,289/307,146
  6. Step 6: Final answer
    x = 704,032.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.