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Finding the Third Proportional to 573,184.50 and 1,214,641.50

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Solution

The third proportional to 573,184.50 and 1,214,641.50 is: 2,573,960.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,184.50 : 1,214,641.50 = 1,214,641.50 : x
  2. Step 2: Convert to fraction form
    573,184.50/1,214,641.50 = 1,214,641.50/x
  3. Step 3: Cross multiply
    573,184.50x = 1,214,641.50 × 1,214,641.50
  4. Step 4: Simplify right side
    573,184.50x = 1,475,353,973,522.25
  5. Step 5: Solve for x
    x = 1,475,353,973,522.25/573,184.50
  6. Step 6: Final answer
    x = 2,573,960.00

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.