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Finding the Third Proportional to 457,830 and 673,513.50

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Solution

The third proportional to 457,830 and 673,513.50 is: 990,805.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,830 : 673,513.50 = 673,513.50 : x
  2. Step 2: Convert to fraction form
    457,830/673,513.50 = 673,513.50/x
  3. Step 3: Cross multiply
    457,830x = 673,513.50 × 673,513.50
  4. Step 4: Simplify right side
    457,830x = 453,620,434,682.25
  5. Step 5: Solve for x
    x = 453,620,434,682.25/457,830
  6. Step 6: Final answer
    x = 990,805.40

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.