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Finding the Third Proportional to 481,419 and 745,051.50

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Solution

The third proportional to 481,419 and 745,051.50 is: 1,153,053.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,419 : 745,051.50 = 745,051.50 : x
  2. Step 2: Convert to fraction form
    481,419/745,051.50 = 745,051.50/x
  3. Step 3: Cross multiply
    481,419x = 745,051.50 × 745,051.50
  4. Step 4: Simplify right side
    481,419x = 555,101,737,652.25
  5. Step 5: Solve for x
    x = 555,101,737,652.25/481,419
  6. Step 6: Final answer
    x = 1,153,053.24

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Why These Related Problems?

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