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Finding the Third Proportional to 302,160 and 423,504

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Solution

The third proportional to 302,160 and 423,504 is: 593,578.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,160 : 423,504 = 423,504 : x
  2. Step 2: Convert to fraction form
    302,160/423,504 = 423,504/x
  3. Step 3: Cross multiply
    302,160x = 423,504 × 423,504
  4. Step 4: Simplify right side
    302,160x = 179,355,638,016
  5. Step 5: Solve for x
    x = 179,355,638,016/302,160
  6. Step 6: Final answer
    x = 593,578.36

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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.