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Finding the Third Proportional to 553,824 and 1,210,153.50

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Solution

The third proportional to 553,824 and 1,210,153.50 is: 2,644,290.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,824 : 1,210,153.50 = 1,210,153.50 : x
  2. Step 2: Convert to fraction form
    553,824/1,210,153.50 = 1,210,153.50/x
  3. Step 3: Cross multiply
    553,824x = 1,210,153.50 × 1,210,153.50
  4. Step 4: Simplify right side
    553,824x = 1,464,471,493,562.25
  5. Step 5: Solve for x
    x = 1,464,471,493,562.25/553,824
  6. Step 6: Final answer
    x = 2,644,290.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.