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Finding the Third Proportional to 219,546 and 456,316

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Solution

The third proportional to 219,546 and 456,316 is: 948,431.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,546 : 456,316 = 456,316 : x
  2. Step 2: Convert to fraction form
    219,546/456,316 = 456,316/x
  3. Step 3: Cross multiply
    219,546x = 456,316 × 456,316
  4. Step 4: Simplify right side
    219,546x = 208,224,291,856
  5. Step 5: Solve for x
    x = 208,224,291,856/219,546
  6. Step 6: Final answer
    x = 948,431.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.