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Finding the Third Proportional to 213,703.50 and 456,010.50

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Solution

The third proportional to 213,703.50 and 456,010.50 is: 973,056.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,703.50 : 456,010.50 = 456,010.50 : x
  2. Step 2: Convert to fraction form
    213,703.50/456,010.50 = 456,010.50/x
  3. Step 3: Cross multiply
    213,703.50x = 456,010.50 × 456,010.50
  4. Step 4: Simplify right side
    213,703.50x = 207,945,576,110.25
  5. Step 5: Solve for x
    x = 207,945,576,110.25/213,703.50
  6. Step 6: Final answer
    x = 973,056.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.