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Finding the Third Proportional to 229,023 and 488,484

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Solution

The third proportional to 229,023 and 488,484 is: 1,041,889.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,023 : 488,484 = 488,484 : x
  2. Step 2: Convert to fraction form
    229,023/488,484 = 488,484/x
  3. Step 3: Cross multiply
    229,023x = 488,484 × 488,484
  4. Step 4: Simplify right side
    229,023x = 238,616,618,256
  5. Step 5: Solve for x
    x = 238,616,618,256/229,023
  6. Step 6: Final answer
    x = 1,041,889.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.