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Finding the Third Proportional to 292,562 and 436,929

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Solution

The third proportional to 292,562 and 436,929 is: 652,535.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,562 : 436,929 = 436,929 : x
  2. Step 2: Convert to fraction form
    292,562/436,929 = 436,929/x
  3. Step 3: Cross multiply
    292,562x = 436,929 × 436,929
  4. Step 4: Simplify right side
    292,562x = 190,906,951,041
  5. Step 5: Solve for x
    x = 190,906,951,041/292,562
  6. Step 6: Final answer
    x = 652,535.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.