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Finding the Third Proportional to 487,913.63 and 761,379.75

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Solution

The third proportional to 487,913.63 and 761,379.75 is: 1,188,118.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,913.63 : 761,379.75 = 761,379.75 : x
  2. Step 2: Convert to fraction form
    487,913.63/761,379.75 = 761,379.75/x
  3. Step 3: Cross multiply
    487,913.63x = 761,379.75 × 761,379.75
  4. Step 4: Simplify right side
    487,913.63x = 579,699,123,710.06
  5. Step 5: Solve for x
    x = 579,699,123,710.06/487,913.63
  6. Step 6: Final answer
    x = 1,188,118.33

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.