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Finding the Third Proportional to 656,372 and 983,464

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Solution

The third proportional to 656,372 and 983,464 is: 1,473,556.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,372 : 983,464 = 983,464 : x
  2. Step 2: Convert to fraction form
    656,372/983,464 = 983,464/x
  3. Step 3: Cross multiply
    656,372x = 983,464 × 983,464
  4. Step 4: Simplify right side
    656,372x = 967,201,439,296
  5. Step 5: Solve for x
    x = 967,201,439,296/656,372
  6. Step 6: Final answer
    x = 1,473,556.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.