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Finding the Third Proportional to 292,153 and 456,682

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Solution

The third proportional to 292,153 and 456,682 is: 713,867.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,153 : 456,682 = 456,682 : x
  2. Step 2: Convert to fraction form
    292,153/456,682 = 456,682/x
  3. Step 3: Cross multiply
    292,153x = 456,682 × 456,682
  4. Step 4: Simplify right side
    292,153x = 208,558,449,124
  5. Step 5: Solve for x
    x = 208,558,449,124/292,153
  6. Step 6: Final answer
    x = 713,867.22

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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.