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Finding the Third Proportional to 302,627 and 424,123

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Solution

The third proportional to 302,627 and 424,123 is: 594,396.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,627 : 424,123 = 424,123 : x
  2. Step 2: Convert to fraction form
    302,627/424,123 = 424,123/x
  3. Step 3: Cross multiply
    302,627x = 424,123 × 424,123
  4. Step 4: Simplify right side
    302,627x = 179,880,319,129
  5. Step 5: Solve for x
    x = 179,880,319,129/302,627
  6. Step 6: Final answer
    x = 594,396.13

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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.