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Finding the Third Proportional to 482,479.13 and 709,683.38

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Solution

The third proportional to 482,479.13 and 709,683.38 is: 1,043,880.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,479.13 : 709,683.38 = 709,683.38 : x
  2. Step 2: Convert to fraction form
    482,479.13/709,683.38 = 709,683.38/x
  3. Step 3: Cross multiply
    482,479.13x = 709,683.38 × 709,683.38
  4. Step 4: Simplify right side
    482,479.13x = 503,650,492,751.39
  5. Step 5: Solve for x
    x = 503,650,492,751.39/482,479.13
  6. Step 6: Final answer
    x = 1,043,880.38

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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.