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Finding the Third Proportional to 294,256.75 and 416,487.75

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Solution

The third proportional to 294,256.75 and 416,487.75 is: 589,492.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,256.75 : 416,487.75 = 416,487.75 : x
  2. Step 2: Convert to fraction form
    294,256.75/416,487.75 = 416,487.75/x
  3. Step 3: Cross multiply
    294,256.75x = 416,487.75 × 416,487.75
  4. Step 4: Simplify right side
    294,256.75x = 173,462,045,900.06
  5. Step 5: Solve for x
    x = 173,462,045,900.06/294,256.75
  6. Step 6: Final answer
    x = 589,492.16

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.