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Finding the Third Proportional to 728,442 and 1,485,787.50

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Solution

The third proportional to 728,442 and 1,485,787.50 is: 3,030,528.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,442 : 1,485,787.50 = 1,485,787.50 : x
  2. Step 2: Convert to fraction form
    728,442/1,485,787.50 = 1,485,787.50/x
  3. Step 3: Cross multiply
    728,442x = 1,485,787.50 × 1,485,787.50
  4. Step 4: Simplify right side
    728,442x = 2,207,564,495,156.25
  5. Step 5: Solve for x
    x = 2,207,564,495,156.25/728,442
  6. Step 6: Final answer
    x = 3,030,528.85

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.