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Finding the Third Proportional to 535,362 and 713,730

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Solution

The third proportional to 535,362 and 713,730 is: 951,525.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,362 : 713,730 = 713,730 : x
  2. Step 2: Convert to fraction form
    535,362/713,730 = 713,730/x
  3. Step 3: Cross multiply
    535,362x = 713,730 × 713,730
  4. Step 4: Simplify right side
    535,362x = 509,410,512,900
  5. Step 5: Solve for x
    x = 509,410,512,900/535,362
  6. Step 6: Final answer
    x = 951,525.35

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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.