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Finding the Third Proportional to 417,751.50 and 609,022.50

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Solution

The third proportional to 417,751.50 and 609,022.50 is: 887,868.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,751.50 : 609,022.50 = 609,022.50 : x
  2. Step 2: Convert to fraction form
    417,751.50/609,022.50 = 609,022.50/x
  3. Step 3: Cross multiply
    417,751.50x = 609,022.50 × 609,022.50
  4. Step 4: Simplify right side
    417,751.50x = 370,908,405,506.25
  5. Step 5: Solve for x
    x = 370,908,405,506.25/417,751.50
  6. Step 6: Final answer
    x = 887,868.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.