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Finding the Third Proportional to 553,835 and 829,831

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Solution

The third proportional to 553,835 and 829,831 is: 1,243,365.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,835 : 829,831 = 829,831 : x
  2. Step 2: Convert to fraction form
    553,835/829,831 = 829,831/x
  3. Step 3: Cross multiply
    553,835x = 829,831 × 829,831
  4. Step 4: Simplify right side
    553,835x = 688,619,488,561
  5. Step 5: Solve for x
    x = 688,619,488,561/553,835
  6. Step 6: Final answer
    x = 1,243,365.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.