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Finding the Third Proportional to 306,762.75 and 470,856.38

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Solution

The third proportional to 306,762.75 and 470,856.38 is: 722,727.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,762.75 : 470,856.38 = 470,856.38 : x
  2. Step 2: Convert to fraction form
    306,762.75/470,856.38 = 470,856.38/x
  3. Step 3: Cross multiply
    306,762.75x = 470,856.38 × 470,856.38
  4. Step 4: Simplify right side
    306,762.75x = 221,705,725,878.14
  5. Step 5: Solve for x
    x = 221,705,725,878.14/306,762.75
  6. Step 6: Final answer
    x = 722,727.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.