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Finding the Third Proportional to 666,035.50 and 973,767

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Solution

The third proportional to 666,035.50 and 973,767 is: 1,423,681.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,035.50 : 973,767 = 973,767 : x
  2. Step 2: Convert to fraction form
    666,035.50/973,767 = 973,767/x
  3. Step 3: Cross multiply
    666,035.50x = 973,767 × 973,767
  4. Step 4: Simplify right side
    666,035.50x = 948,222,170,289
  5. Step 5: Solve for x
    x = 948,222,170,289/666,035.50
  6. Step 6: Final answer
    x = 1,423,681.13

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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.