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Finding the Third Proportional to 294,256.15 and 416,487.05

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Solution

The third proportional to 294,256.15 and 416,487.05 is: 589,491.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,256.15 : 416,487.05 = 416,487.05 : x
  2. Step 2: Convert to fraction form
    294,256.15/416,487.05 = 416,487.05/x
  3. Step 3: Cross multiply
    294,256.15x = 416,487.05 × 416,487.05
  4. Step 4: Simplify right side
    294,256.15x = 173,461,462,655.01
  5. Step 5: Solve for x
    x = 173,461,462,655.01/294,256.15
  6. Step 6: Final answer
    x = 589,491.37

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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.