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Finding the Third Proportional to 360,099 and 784,998

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Solution

The third proportional to 360,099 and 784,998 is: 1,711,256.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,099 : 784,998 = 784,998 : x
  2. Step 2: Convert to fraction form
    360,099/784,998 = 784,998/x
  3. Step 3: Cross multiply
    360,099x = 784,998 × 784,998
  4. Step 4: Simplify right side
    360,099x = 616,221,860,004
  5. Step 5: Solve for x
    x = 616,221,860,004/360,099
  6. Step 6: Final answer
    x = 1,711,256.79

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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.