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Finding the Third Proportional to 365,074.59 and 798,970.50

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Solution

The third proportional to 365,074.59 and 798,970.50 is: 1,748,557.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,074.59 : 798,970.50 = 798,970.50 : x
  2. Step 2: Convert to fraction form
    365,074.59/798,970.50 = 798,970.50/x
  3. Step 3: Cross multiply
    365,074.59x = 798,970.50 × 798,970.50
  4. Step 4: Simplify right side
    365,074.59x = 638,353,859,870.25
  5. Step 5: Solve for x
    x = 638,353,859,870.25/365,074.59
  6. Step 6: Final answer
    x = 1,748,557.34

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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.