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Finding the Third Proportional to 307,562 and 413,773

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Solution

The third proportional to 307,562 and 413,773 is: 556,662.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,562 : 413,773 = 413,773 : x
  2. Step 2: Convert to fraction form
    307,562/413,773 = 413,773/x
  3. Step 3: Cross multiply
    307,562x = 413,773 × 413,773
  4. Step 4: Simplify right side
    307,562x = 171,208,095,529
  5. Step 5: Solve for x
    x = 171,208,095,529/307,562
  6. Step 6: Final answer
    x = 556,662.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.