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Finding the Third Proportional to 554,647.50 and 829,765.13

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Solution

The third proportional to 554,647.50 and 829,765.13 is: 1,241,347.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,647.50 : 829,765.13 = 829,765.13 : x
  2. Step 2: Convert to fraction form
    554,647.50/829,765.13 = 829,765.13/x
  3. Step 3: Cross multiply
    554,647.50x = 829,765.13 × 829,765.13
  4. Step 4: Simplify right side
    554,647.50x = 688,510,162,666.27
  5. Step 5: Solve for x
    x = 688,510,162,666.27/554,647.50
  6. Step 6: Final answer
    x = 1,241,347.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.