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Finding the Third Proportional to 440,852 and 659,572

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Solution

The third proportional to 440,852 and 659,572 is: 986,805.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,852 : 659,572 = 659,572 : x
  2. Step 2: Convert to fraction form
    440,852/659,572 = 659,572/x
  3. Step 3: Cross multiply
    440,852x = 659,572 × 659,572
  4. Step 4: Simplify right side
    440,852x = 435,035,223,184
  5. Step 5: Solve for x
    x = 435,035,223,184/440,852
  6. Step 6: Final answer
    x = 986,805.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.