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Finding the Third Proportional to 292,426.50 and 441,826.50

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Solution

The third proportional to 292,426.50 and 441,826.50 is: 667,554.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,426.50 : 441,826.50 = 441,826.50 : x
  2. Step 2: Convert to fraction form
    292,426.50/441,826.50 = 441,826.50/x
  3. Step 3: Cross multiply
    292,426.50x = 441,826.50 × 441,826.50
  4. Step 4: Simplify right side
    292,426.50x = 195,210,656,102.25
  5. Step 5: Solve for x
    x = 195,210,656,102.25/292,426.50
  6. Step 6: Final answer
    x = 667,554.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.