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Finding the Third Proportional to 469,764 and 713,985.75

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Solution

The third proportional to 469,764 and 713,985.75 is: 1,085,173.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,764 : 713,985.75 = 713,985.75 : x
  2. Step 2: Convert to fraction form
    469,764/713,985.75 = 713,985.75/x
  3. Step 3: Cross multiply
    469,764x = 713,985.75 × 713,985.75
  4. Step 4: Simplify right side
    469,764x = 509,775,651,203.06
  5. Step 5: Solve for x
    x = 509,775,651,203.06/469,764
  6. Step 6: Final answer
    x = 1,085,173.94

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.