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Finding the Third Proportional to 202,308 and 442,714

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Solution

The third proportional to 202,308 and 442,714 is: 968,798.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,308 : 442,714 = 442,714 : x
  2. Step 2: Convert to fraction form
    202,308/442,714 = 442,714/x
  3. Step 3: Cross multiply
    202,308x = 442,714 × 442,714
  4. Step 4: Simplify right side
    202,308x = 195,995,685,796
  5. Step 5: Solve for x
    x = 195,995,685,796/202,308
  6. Step 6: Final answer
    x = 968,798.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.