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Finding the Third Proportional to 301,117.50 and 668,664

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Solution

The third proportional to 301,117.50 and 668,664 is: 1,484,840.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,117.50 : 668,664 = 668,664 : x
  2. Step 2: Convert to fraction form
    301,117.50/668,664 = 668,664/x
  3. Step 3: Cross multiply
    301,117.50x = 668,664 × 668,664
  4. Step 4: Simplify right side
    301,117.50x = 447,111,544,896
  5. Step 5: Solve for x
    x = 447,111,544,896/301,117.50
  6. Step 6: Final answer
    x = 1,484,840.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.