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Finding the Third Proportional to 824,908.50 and 1,207,830

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Solution

The third proportional to 824,908.50 and 1,207,830 is: 1,768,503.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,908.50 : 1,207,830 = 1,207,830 : x
  2. Step 2: Convert to fraction form
    824,908.50/1,207,830 = 1,207,830/x
  3. Step 3: Cross multiply
    824,908.50x = 1,207,830 × 1,207,830
  4. Step 4: Simplify right side
    824,908.50x = 1,458,853,308,900
  5. Step 5: Solve for x
    x = 1,458,853,308,900/824,908.50
  6. Step 6: Final answer
    x = 1,768,503.18

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.