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Finding the Third Proportional to 314,901 and 618,880.50

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Solution

The third proportional to 314,901 and 618,880.50 is: 1,216,296.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,901 : 618,880.50 = 618,880.50 : x
  2. Step 2: Convert to fraction form
    314,901/618,880.50 = 618,880.50/x
  3. Step 3: Cross multiply
    314,901x = 618,880.50 × 618,880.50
  4. Step 4: Simplify right side
    314,901x = 383,013,073,280.25
  5. Step 5: Solve for x
    x = 383,013,073,280.25/314,901
  6. Step 6: Final answer
    x = 1,216,296.78

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.