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Finding the Third Proportional to 458,073 and 713,286

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Solution

The third proportional to 458,073 and 713,286 is: 1,110,689.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,073 : 713,286 = 713,286 : x
  2. Step 2: Convert to fraction form
    458,073/713,286 = 713,286/x
  3. Step 3: Cross multiply
    458,073x = 713,286 × 713,286
  4. Step 4: Simplify right side
    458,073x = 508,776,917,796
  5. Step 5: Solve for x
    x = 508,776,917,796/458,073
  6. Step 6: Final answer
    x = 1,110,689.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.