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Finding the Third Proportional to 426,921 and 669,685.50

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Solution

The third proportional to 426,921 and 669,685.50 is: 1,050,495.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,921 : 669,685.50 = 669,685.50 : x
  2. Step 2: Convert to fraction form
    426,921/669,685.50 = 669,685.50/x
  3. Step 3: Cross multiply
    426,921x = 669,685.50 × 669,685.50
  4. Step 4: Simplify right side
    426,921x = 448,478,668,910.25
  5. Step 5: Solve for x
    x = 448,478,668,910.25/426,921
  6. Step 6: Final answer
    x = 1,050,495.69

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.