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Finding the Third Proportional to 535,706 and 727,557

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Solution

The third proportional to 535,706 and 727,557 is: 988,115.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,706 : 727,557 = 727,557 : x
  2. Step 2: Convert to fraction form
    535,706/727,557 = 727,557/x
  3. Step 3: Cross multiply
    535,706x = 727,557 × 727,557
  4. Step 4: Simplify right side
    535,706x = 529,339,188,249
  5. Step 5: Solve for x
    x = 529,339,188,249/535,706
  6. Step 6: Final answer
    x = 988,115.10

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.