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Finding the Third Proportional to 245,270.25 and 526,002

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Solution

The third proportional to 245,270.25 and 526,002 is: 1,128,054.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,270.25 : 526,002 = 526,002 : x
  2. Step 2: Convert to fraction form
    245,270.25/526,002 = 526,002/x
  3. Step 3: Cross multiply
    245,270.25x = 526,002 × 526,002
  4. Step 4: Simplify right side
    245,270.25x = 276,678,104,004
  5. Step 5: Solve for x
    x = 276,678,104,004/245,270.25
  6. Step 6: Final answer
    x = 1,128,054.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.