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Finding the Third Proportional to 353,704 and 499,998

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Solution

The third proportional to 353,704 and 499,998 is: 706,800.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,704 : 499,998 = 499,998 : x
  2. Step 2: Convert to fraction form
    353,704/499,998 = 499,998/x
  3. Step 3: Cross multiply
    353,704x = 499,998 × 499,998
  4. Step 4: Simplify right side
    353,704x = 249,998,000,004
  5. Step 5: Solve for x
    x = 249,998,000,004/353,704
  6. Step 6: Final answer
    x = 706,800.04

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.