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Finding the Third Proportional to 480,784.50 and 747,423

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Solution

The third proportional to 480,784.50 and 747,423 is: 1,161,936.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,784.50 : 747,423 = 747,423 : x
  2. Step 2: Convert to fraction form
    480,784.50/747,423 = 747,423/x
  3. Step 3: Cross multiply
    480,784.50x = 747,423 × 747,423
  4. Step 4: Simplify right side
    480,784.50x = 558,641,140,929
  5. Step 5: Solve for x
    x = 558,641,140,929/480,784.50
  6. Step 6: Final answer
    x = 1,161,936.67

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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.