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Finding the Third Proportional to 365,076 and 802,080

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Solution

The third proportional to 365,076 and 802,080 is: 1,762,187.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,076 : 802,080 = 802,080 : x
  2. Step 2: Convert to fraction form
    365,076/802,080 = 802,080/x
  3. Step 3: Cross multiply
    365,076x = 802,080 × 802,080
  4. Step 4: Simplify right side
    365,076x = 643,332,326,400
  5. Step 5: Solve for x
    x = 643,332,326,400/365,076
  6. Step 6: Final answer
    x = 1,762,187.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.