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Finding the Third Proportional to 509,392 and 689,352

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Solution

The third proportional to 509,392 and 689,352 is: 932,888.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,392 : 689,352 = 689,352 : x
  2. Step 2: Convert to fraction form
    509,392/689,352 = 689,352/x
  3. Step 3: Cross multiply
    509,392x = 689,352 × 689,352
  4. Step 4: Simplify right side
    509,392x = 475,206,179,904
  5. Step 5: Solve for x
    x = 475,206,179,904/509,392
  6. Step 6: Final answer
    x = 932,888.97

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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.