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Finding the Third Proportional to 295,875.75 and 480,696.75

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Solution

The third proportional to 295,875.75 and 480,696.75 is: 780,967.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,875.75 : 480,696.75 = 480,696.75 : x
  2. Step 2: Convert to fraction form
    295,875.75/480,696.75 = 480,696.75/x
  3. Step 3: Cross multiply
    295,875.75x = 480,696.75 × 480,696.75
  4. Step 4: Simplify right side
    295,875.75x = 231,069,365,460.56
  5. Step 5: Solve for x
    x = 231,069,365,460.56/295,875.75
  6. Step 6: Final answer
    x = 780,967.57

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.