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Finding the Third Proportional to 440,592 and 700,254

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Solution

The third proportional to 440,592 and 700,254 is: 1,112,947.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,592 : 700,254 = 700,254 : x
  2. Step 2: Convert to fraction form
    440,592/700,254 = 700,254/x
  3. Step 3: Cross multiply
    440,592x = 700,254 × 700,254
  4. Step 4: Simplify right side
    440,592x = 490,355,664,516
  5. Step 5: Solve for x
    x = 490,355,664,516/440,592
  6. Step 6: Final answer
    x = 1,112,947.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.