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Finding the Third Proportional to 315,477 and 688,048.50

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Solution

The third proportional to 315,477 and 688,048.50 is: 1,500,618.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,477 : 688,048.50 = 688,048.50 : x
  2. Step 2: Convert to fraction form
    315,477/688,048.50 = 688,048.50/x
  3. Step 3: Cross multiply
    315,477x = 688,048.50 × 688,048.50
  4. Step 4: Simplify right side
    315,477x = 473,410,738,352.25
  5. Step 5: Solve for x
    x = 473,410,738,352.25/315,477
  6. Step 6: Final answer
    x = 1,500,618.87

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.