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Finding the Third Proportional to 710,338.50 and 1,262,898.50

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Solution

The third proportional to 710,338.50 and 1,262,898.50 is: 2,245,285.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,338.50 : 1,262,898.50 = 1,262,898.50 : x
  2. Step 2: Convert to fraction form
    710,338.50/1,262,898.50 = 1,262,898.50/x
  3. Step 3: Cross multiply
    710,338.50x = 1,262,898.50 × 1,262,898.50
  4. Step 4: Simplify right side
    710,338.50x = 1,594,912,621,302.25
  5. Step 5: Solve for x
    x = 1,594,912,621,302.25/710,338.50
  6. Step 6: Final answer
    x = 2,245,285.34

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.