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Finding the Third Proportional to 294,041.25 and 432,450

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Solution

The third proportional to 294,041.25 and 432,450 is: 636,009.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,041.25 : 432,450 = 432,450 : x
  2. Step 2: Convert to fraction form
    294,041.25/432,450 = 432,450/x
  3. Step 3: Cross multiply
    294,041.25x = 432,450 × 432,450
  4. Step 4: Simplify right side
    294,041.25x = 187,013,002,500
  5. Step 5: Solve for x
    x = 187,013,002,500/294,041.25
  6. Step 6: Final answer
    x = 636,009.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.