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Finding the Third Proportional to 300,124.50 and 457,810.50

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Solution

The third proportional to 300,124.50 and 457,810.50 is: 698,345.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,124.50 : 457,810.50 = 457,810.50 : x
  2. Step 2: Convert to fraction form
    300,124.50/457,810.50 = 457,810.50/x
  3. Step 3: Cross multiply
    300,124.50x = 457,810.50 × 457,810.50
  4. Step 4: Simplify right side
    300,124.50x = 209,590,453,910.25
  5. Step 5: Solve for x
    x = 209,590,453,910.25/300,124.50
  6. Step 6: Final answer
    x = 698,345.03

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.