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Finding the Third Proportional to 358,402 and 782,005

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Solution

The third proportional to 358,402 and 782,005 is: 1,706,273.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,402 : 782,005 = 782,005 : x
  2. Step 2: Convert to fraction form
    358,402/782,005 = 782,005/x
  3. Step 3: Cross multiply
    358,402x = 782,005 × 782,005
  4. Step 4: Simplify right side
    358,402x = 611,531,820,025
  5. Step 5: Solve for x
    x = 611,531,820,025/358,402
  6. Step 6: Final answer
    x = 1,706,273.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.