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Finding the Third Proportional to 403,732 and 586,804

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Solution

The third proportional to 403,732 and 586,804 is: 852,889.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,732 : 586,804 = 586,804 : x
  2. Step 2: Convert to fraction form
    403,732/586,804 = 586,804/x
  3. Step 3: Cross multiply
    403,732x = 586,804 × 586,804
  4. Step 4: Simplify right side
    403,732x = 344,338,934,416
  5. Step 5: Solve for x
    x = 344,338,934,416/403,732
  6. Step 6: Final answer
    x = 852,889.87

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.