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Finding the Third Proportional to 633,429 and 1,319,278.50

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Solution

The third proportional to 633,429 and 1,319,278.50 is: 2,747,736.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,429 : 1,319,278.50 = 1,319,278.50 : x
  2. Step 2: Convert to fraction form
    633,429/1,319,278.50 = 1,319,278.50/x
  3. Step 3: Cross multiply
    633,429x = 1,319,278.50 × 1,319,278.50
  4. Step 4: Simplify right side
    633,429x = 1,740,495,760,562.25
  5. Step 5: Solve for x
    x = 1,740,495,760,562.25/633,429
  6. Step 6: Final answer
    x = 2,747,736.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.