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Finding the Third Proportional to 302,646.75 and 424,152

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Solution

The third proportional to 302,646.75 and 424,152 is: 594,438.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,646.75 : 424,152 = 424,152 : x
  2. Step 2: Convert to fraction form
    302,646.75/424,152 = 424,152/x
  3. Step 3: Cross multiply
    302,646.75x = 424,152 × 424,152
  4. Step 4: Simplify right side
    302,646.75x = 179,904,919,104
  5. Step 5: Solve for x
    x = 179,904,919,104/302,646.75
  6. Step 6: Final answer
    x = 594,438.63

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.