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Finding the Third Proportional to 553,865 and 829,873

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Solution

The third proportional to 553,865 and 829,873 is: 1,243,424.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,865 : 829,873 = 829,873 : x
  2. Step 2: Convert to fraction form
    553,865/829,873 = 829,873/x
  3. Step 3: Cross multiply
    553,865x = 829,873 × 829,873
  4. Step 4: Simplify right side
    553,865x = 688,689,196,129
  5. Step 5: Solve for x
    x = 688,689,196,129/553,865
  6. Step 6: Final answer
    x = 1,243,424.29

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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.