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Finding the Third Proportional to 284,199 and 621,889.50

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Solution

The third proportional to 284,199 and 621,889.50 is: 1,360,830.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,199 : 621,889.50 = 621,889.50 : x
  2. Step 2: Convert to fraction form
    284,199/621,889.50 = 621,889.50/x
  3. Step 3: Cross multiply
    284,199x = 621,889.50 × 621,889.50
  4. Step 4: Simplify right side
    284,199x = 386,746,550,210.25
  5. Step 5: Solve for x
    x = 386,746,550,210.25/284,199
  6. Step 6: Final answer
    x = 1,360,830.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.