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Finding the Third Proportional to 357,482 and 500,014

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Solution

The third proportional to 357,482 and 500,014 is: 699,375.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,482 : 500,014 = 500,014 : x
  2. Step 2: Convert to fraction form
    357,482/500,014 = 500,014/x
  3. Step 3: Cross multiply
    357,482x = 500,014 × 500,014
  4. Step 4: Simplify right side
    357,482x = 250,014,000,196
  5. Step 5: Solve for x
    x = 250,014,000,196/357,482
  6. Step 6: Final answer
    x = 699,375.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.