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Finding the Third Proportional to 357,478 and 500,008

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Solution

The third proportional to 357,478 and 500,008 is: 699,366.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,478 : 500,008 = 500,008 : x
  2. Step 2: Convert to fraction form
    357,478/500,008 = 500,008/x
  3. Step 3: Cross multiply
    357,478x = 500,008 × 500,008
  4. Step 4: Simplify right side
    357,478x = 250,008,000,064
  5. Step 5: Solve for x
    x = 250,008,000,064/357,478
  6. Step 6: Final answer
    x = 699,366.12

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