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Finding the Third Proportional to 440,006 and 686,290

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Solution

The third proportional to 440,006 and 686,290 is: 1,070,426.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,006 : 686,290 = 686,290 : x
  2. Step 2: Convert to fraction form
    440,006/686,290 = 686,290/x
  3. Step 3: Cross multiply
    440,006x = 686,290 × 686,290
  4. Step 4: Simplify right side
    440,006x = 470,993,964,100
  5. Step 5: Solve for x
    x = 470,993,964,100/440,006
  6. Step 6: Final answer
    x = 1,070,426.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.