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Finding the Third Proportional to 312,609 and 484,357.50

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Solution

The third proportional to 312,609 and 484,357.50 is: 750,465.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,609 : 484,357.50 = 484,357.50 : x
  2. Step 2: Convert to fraction form
    312,609/484,357.50 = 484,357.50/x
  3. Step 3: Cross multiply
    312,609x = 484,357.50 × 484,357.50
  4. Step 4: Simplify right side
    312,609x = 234,602,187,806.25
  5. Step 5: Solve for x
    x = 234,602,187,806.25/312,609
  6. Step 6: Final answer
    x = 750,465.24

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