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Finding the Third Proportional to 651,465 and 982,323.75

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Solution

The third proportional to 651,465 and 982,323.75 is: 1,481,215.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,465 : 982,323.75 = 982,323.75 : x
  2. Step 2: Convert to fraction form
    651,465/982,323.75 = 982,323.75/x
  3. Step 3: Cross multiply
    651,465x = 982,323.75 × 982,323.75
  4. Step 4: Simplify right side
    651,465x = 964,959,949,814.06
  5. Step 5: Solve for x
    x = 964,959,949,814.06/651,465
  6. Step 6: Final answer
    x = 1,481,215.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.