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Finding the Third Proportional to 380,080 and 601,808

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Solution

The third proportional to 380,080 and 601,808 is: 952,885.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,080 : 601,808 = 601,808 : x
  2. Step 2: Convert to fraction form
    380,080/601,808 = 601,808/x
  3. Step 3: Cross multiply
    380,080x = 601,808 × 601,808
  4. Step 4: Simplify right side
    380,080x = 362,172,868,864
  5. Step 5: Solve for x
    x = 362,172,868,864/380,080
  6. Step 6: Final answer
    x = 952,885.89

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.