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Finding the Third Proportional to 340,217 and 500,482

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Solution

The third proportional to 340,217 and 500,482 is: 736,242.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,217 : 500,482 = 500,482 : x
  2. Step 2: Convert to fraction form
    340,217/500,482 = 500,482/x
  3. Step 3: Cross multiply
    340,217x = 500,482 × 500,482
  4. Step 4: Simplify right side
    340,217x = 250,482,232,324
  5. Step 5: Solve for x
    x = 250,482,232,324/340,217
  6. Step 6: Final answer
    x = 736,242.55

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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.