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Finding the Third Proportional to 651,950 and 997,303

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Solution

The third proportional to 651,950 and 997,303 is: 1,525,597.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,950 : 997,303 = 997,303 : x
  2. Step 2: Convert to fraction form
    651,950/997,303 = 997,303/x
  3. Step 3: Cross multiply
    651,950x = 997,303 × 997,303
  4. Step 4: Simplify right side
    651,950x = 994,613,273,809
  5. Step 5: Solve for x
    x = 994,613,273,809/651,950
  6. Step 6: Final answer
    x = 1,525,597.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.