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Finding the Third Proportional to 466,425 and 713,157

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Solution

The third proportional to 466,425 and 713,157 is: 1,090,406.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,425 : 713,157 = 713,157 : x
  2. Step 2: Convert to fraction form
    466,425/713,157 = 713,157/x
  3. Step 3: Cross multiply
    466,425x = 713,157 × 713,157
  4. Step 4: Simplify right side
    466,425x = 508,592,906,649
  5. Step 5: Solve for x
    x = 508,592,906,649/466,425
  6. Step 6: Final answer
    x = 1,090,406.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.