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Finding the Third Proportional to 331,710.19 and 710,744.63

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Solution

The third proportional to 331,710.19 and 710,744.63 is: 1,522,889.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,710.19 : 710,744.63 = 710,744.63 : x
  2. Step 2: Convert to fraction form
    331,710.19/710,744.63 = 710,744.63/x
  3. Step 3: Cross multiply
    331,710.19x = 710,744.63 × 710,744.63
  4. Step 4: Simplify right side
    331,710.19x = 505,157,921,966.39
  5. Step 5: Solve for x
    x = 505,157,921,966.39/331,710.19
  6. Step 6: Final answer
    x = 1,522,889.38

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.