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Finding the Third Proportional to 457,826.63 and 673,503.75

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Solution

The third proportional to 457,826.63 and 673,503.75 is: 990,784.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,826.63 : 673,503.75 = 673,503.75 : x
  2. Step 2: Convert to fraction form
    457,826.63/673,503.75 = 673,503.75/x
  3. Step 3: Cross multiply
    457,826.63x = 673,503.75 × 673,503.75
  4. Step 4: Simplify right side
    457,826.63x = 453,607,301,264.06
  5. Step 5: Solve for x
    x = 453,607,301,264.06/457,826.63
  6. Step 6: Final answer
    x = 990,784.01

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Why These Related Problems?

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