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Finding the Third Proportional to 370,084 and 721,736

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Solution

The third proportional to 370,084 and 721,736 is: 1,407,526.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,084 : 721,736 = 721,736 : x
  2. Step 2: Convert to fraction form
    370,084/721,736 = 721,736/x
  3. Step 3: Cross multiply
    370,084x = 721,736 × 721,736
  4. Step 4: Simplify right side
    370,084x = 520,902,853,696
  5. Step 5: Solve for x
    x = 520,902,853,696/370,084
  6. Step 6: Final answer
    x = 1,407,526.00

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.