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Finding the Third Proportional to 535,490 and 713,907

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Solution

The third proportional to 535,490 and 713,907 is: 951,769.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,490 : 713,907 = 713,907 : x
  2. Step 2: Convert to fraction form
    535,490/713,907 = 713,907/x
  3. Step 3: Cross multiply
    535,490x = 713,907 × 713,907
  4. Step 4: Simplify right side
    535,490x = 509,663,204,649
  5. Step 5: Solve for x
    x = 509,663,204,649/535,490
  6. Step 6: Final answer
    x = 951,769.79

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.