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Finding the Third Proportional to 354,582 and 758,992.50

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Solution

The third proportional to 354,582 and 758,992.50 is: 1,624,644.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,582 : 758,992.50 = 758,992.50 : x
  2. Step 2: Convert to fraction form
    354,582/758,992.50 = 758,992.50/x
  3. Step 3: Cross multiply
    354,582x = 758,992.50 × 758,992.50
  4. Step 4: Simplify right side
    354,582x = 576,069,615,056.25
  5. Step 5: Solve for x
    x = 576,069,615,056.25/354,582
  6. Step 6: Final answer
    x = 1,624,644.27

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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.