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Finding the Third Proportional to 535,716 and 734,566

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Solution

The third proportional to 535,716 and 734,566 is: 1,007,226.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,716 : 734,566 = 734,566 : x
  2. Step 2: Convert to fraction form
    535,716/734,566 = 734,566/x
  3. Step 3: Cross multiply
    535,716x = 734,566 × 734,566
  4. Step 4: Simplify right side
    535,716x = 539,587,208,356
  5. Step 5: Solve for x
    x = 539,587,208,356/535,716
  6. Step 6: Final answer
    x = 1,007,226.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.