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Finding the Third Proportional to 457,835 and 673,516

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Solution

The third proportional to 457,835 and 673,516 is: 990,801.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,835 : 673,516 = 673,516 : x
  2. Step 2: Convert to fraction form
    457,835/673,516 = 673,516/x
  3. Step 3: Cross multiply
    457,835x = 673,516 × 673,516
  4. Step 4: Simplify right side
    457,835x = 453,623,802,256
  5. Step 5: Solve for x
    x = 453,623,802,256/457,835
  6. Step 6: Final answer
    x = 990,801.93

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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.