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Finding the Third Proportional to 475,058 and 713,205

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Solution

The third proportional to 475,058 and 713,205 is: 1,070,735.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,058 : 713,205 = 713,205 : x
  2. Step 2: Convert to fraction form
    475,058/713,205 = 713,205/x
  3. Step 3: Cross multiply
    475,058x = 713,205 × 713,205
  4. Step 4: Simplify right side
    475,058x = 508,661,372,025
  5. Step 5: Solve for x
    x = 508,661,372,025/475,058
  6. Step 6: Final answer
    x = 1,070,735.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.