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Finding the Third Proportional to 295,698.25 and 463,257

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Solution

The third proportional to 295,698.25 and 463,257 is: 725,763.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,698.25 : 463,257 = 463,257 : x
  2. Step 2: Convert to fraction form
    295,698.25/463,257 = 463,257/x
  3. Step 3: Cross multiply
    295,698.25x = 463,257 × 463,257
  4. Step 4: Simplify right side
    295,698.25x = 214,607,048,049
  5. Step 5: Solve for x
    x = 214,607,048,049/295,698.25
  6. Step 6: Final answer
    x = 725,763.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.