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Finding the Third Proportional to 483,084 and 709,854

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Solution

The third proportional to 483,084 and 709,854 is: 1,043,074.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,084 : 709,854 = 709,854 : x
  2. Step 2: Convert to fraction form
    483,084/709,854 = 709,854/x
  3. Step 3: Cross multiply
    483,084x = 709,854 × 709,854
  4. Step 4: Simplify right side
    483,084x = 503,892,701,316
  5. Step 5: Solve for x
    x = 503,892,701,316/483,084
  6. Step 6: Final answer
    x = 1,043,074.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.