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Finding the Third Proportional to 651,759.75 and 954,307.13

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Solution

The third proportional to 651,759.75 and 954,307.13 is: 1,397,297.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,759.75 : 954,307.13 = 954,307.13 : x
  2. Step 2: Convert to fraction form
    651,759.75/954,307.13 = 954,307.13/x
  3. Step 3: Cross multiply
    651,759.75x = 954,307.13 × 954,307.13
  4. Step 4: Simplify right side
    651,759.75x = 910,702,088,825.77
  5. Step 5: Solve for x
    x = 910,702,088,825.77/651,759.75
  6. Step 6: Final answer
    x = 1,397,297.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.