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Finding the Third Proportional to 803,007 and 1,245,277.50

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Solution

The third proportional to 803,007 and 1,245,277.50 is: 1,931,136.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,007 : 1,245,277.50 = 1,245,277.50 : x
  2. Step 2: Convert to fraction form
    803,007/1,245,277.50 = 1,245,277.50/x
  3. Step 3: Cross multiply
    803,007x = 1,245,277.50 × 1,245,277.50
  4. Step 4: Simplify right side
    803,007x = 1,550,716,052,006.25
  5. Step 5: Solve for x
    x = 1,550,716,052,006.25/803,007
  6. Step 6: Final answer
    x = 1,931,136.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.