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Finding the Third Proportional to 395,439 and 612,819.50

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Solution

The third proportional to 395,439 and 612,819.50 is: 949,698.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,439 : 612,819.50 = 612,819.50 : x
  2. Step 2: Convert to fraction form
    395,439/612,819.50 = 612,819.50/x
  3. Step 3: Cross multiply
    395,439x = 612,819.50 × 612,819.50
  4. Step 4: Simplify right side
    395,439x = 375,547,739,580.25
  5. Step 5: Solve for x
    x = 375,547,739,580.25/395,439
  6. Step 6: Final answer
    x = 949,698.28

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.