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Finding the Third Proportional to 464,550.75 and 688,191.75

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Solution

The third proportional to 464,550.75 and 688,191.75 is: 1,019,496.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,550.75 : 688,191.75 = 688,191.75 : x
  2. Step 2: Convert to fraction form
    464,550.75/688,191.75 = 688,191.75/x
  3. Step 3: Cross multiply
    464,550.75x = 688,191.75 × 688,191.75
  4. Step 4: Simplify right side
    464,550.75x = 473,607,884,768.06
  5. Step 5: Solve for x
    x = 473,607,884,768.06/464,550.75
  6. Step 6: Final answer
    x = 1,019,496.55

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.