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Finding the Third Proportional to 434,806 and 600,807

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Solution

The third proportional to 434,806 and 600,807 is: 830,184.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,806 : 600,807 = 600,807 : x
  2. Step 2: Convert to fraction form
    434,806/600,807 = 600,807/x
  3. Step 3: Cross multiply
    434,806x = 600,807 × 600,807
  4. Step 4: Simplify right side
    434,806x = 360,969,051,249
  5. Step 5: Solve for x
    x = 360,969,051,249/434,806
  6. Step 6: Final answer
    x = 830,184.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.