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Finding the Third Proportional to 576,470.50 and 821,194.50

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Solution

The third proportional to 576,470.50 and 821,194.50 is: 1,169,809.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,470.50 : 821,194.50 = 821,194.50 : x
  2. Step 2: Convert to fraction form
    576,470.50/821,194.50 = 821,194.50/x
  3. Step 3: Cross multiply
    576,470.50x = 821,194.50 × 821,194.50
  4. Step 4: Simplify right side
    576,470.50x = 674,360,406,830.25
  5. Step 5: Solve for x
    x = 674,360,406,830.25/576,470.50
  6. Step 6: Final answer
    x = 1,169,809.05

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.