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Finding the Third Proportional to 462,783 and 699,105.75

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Solution

The third proportional to 462,783 and 699,105.75 is: 1,056,108.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,783 : 699,105.75 = 699,105.75 : x
  2. Step 2: Convert to fraction form
    462,783/699,105.75 = 699,105.75/x
  3. Step 3: Cross multiply
    462,783x = 699,105.75 × 699,105.75
  4. Step 4: Simplify right side
    462,783x = 488,748,849,683.06
  5. Step 5: Solve for x
    x = 488,748,849,683.06/462,783
  6. Step 6: Final answer
    x = 1,056,108.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.