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Finding the Third Proportional to 664,746.75 and 973,544.06

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Solution

The third proportional to 664,746.75 and 973,544.06 is: 1,425,788.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,746.75 : 973,544.06 = 973,544.06 : x
  2. Step 2: Convert to fraction form
    664,746.75/973,544.06 = 973,544.06/x
  3. Step 3: Cross multiply
    664,746.75x = 973,544.06 × 973,544.06
  4. Step 4: Simplify right side
    664,746.75x = 947,788,041,629.00
  5. Step 5: Solve for x
    x = 947,788,041,629.00/664,746.75
  6. Step 6: Final answer
    x = 1,425,788.15

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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.