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Finding the Third Proportional to 457,133.63 and 684,045

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Solution

The third proportional to 457,133.63 and 684,045 is: 1,023,590.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,133.63 : 684,045 = 684,045 : x
  2. Step 2: Convert to fraction form
    457,133.63/684,045 = 684,045/x
  3. Step 3: Cross multiply
    457,133.63x = 684,045 × 684,045
  4. Step 4: Simplify right side
    457,133.63x = 467,917,562,025
  5. Step 5: Solve for x
    x = 467,917,562,025/457,133.63
  6. Step 6: Final answer
    x = 1,023,590.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.