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Finding the Third Proportional to 423,224 and 574,142

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Solution

The third proportional to 423,224 and 574,142 is: 778,876.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,224 : 574,142 = 574,142 : x
  2. Step 2: Convert to fraction form
    423,224/574,142 = 574,142/x
  3. Step 3: Cross multiply
    423,224x = 574,142 × 574,142
  4. Step 4: Simplify right side
    423,224x = 329,639,036,164
  5. Step 5: Solve for x
    x = 329,639,036,164/423,224
  6. Step 6: Final answer
    x = 778,876.05

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.