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Finding the Third Proportional to 291,654 and 456,921

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Solution

The third proportional to 291,654 and 456,921 is: 715,837.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,654 : 456,921 = 456,921 : x
  2. Step 2: Convert to fraction form
    291,654/456,921 = 456,921/x
  3. Step 3: Cross multiply
    291,654x = 456,921 × 456,921
  4. Step 4: Simplify right side
    291,654x = 208,776,800,241
  5. Step 5: Solve for x
    x = 208,776,800,241/291,654
  6. Step 6: Final answer
    x = 715,837.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.