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Finding the Third Proportional to 428,870.95 and 924,169.50

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Solution

The third proportional to 428,870.95 and 924,169.50 is: 1,991,483.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,870.95 : 924,169.50 = 924,169.50 : x
  2. Step 2: Convert to fraction form
    428,870.95/924,169.50 = 924,169.50/x
  3. Step 3: Cross multiply
    428,870.95x = 924,169.50 × 924,169.50
  4. Step 4: Simplify right side
    428,870.95x = 854,089,264,730.25
  5. Step 5: Solve for x
    x = 854,089,264,730.25/428,870.95
  6. Step 6: Final answer
    x = 1,991,483.12

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.