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Finding the Third Proportional to 245,534 and 371,621

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Solution

The third proportional to 245,534 and 371,621 is: 562,456.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,534 : 371,621 = 371,621 : x
  2. Step 2: Convert to fraction form
    245,534/371,621 = 371,621/x
  3. Step 3: Cross multiply
    245,534x = 371,621 × 371,621
  4. Step 4: Simplify right side
    245,534x = 138,102,167,641
  5. Step 5: Solve for x
    x = 138,102,167,641/245,534
  6. Step 6: Final answer
    x = 562,456.39

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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.