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Finding the Third Proportional to 493,564 and 746,421

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Solution

The third proportional to 493,564 and 746,421 is: 1,128,818.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,564 : 746,421 = 746,421 : x
  2. Step 2: Convert to fraction form
    493,564/746,421 = 746,421/x
  3. Step 3: Cross multiply
    493,564x = 746,421 × 746,421
  4. Step 4: Simplify right side
    493,564x = 557,144,309,241
  5. Step 5: Solve for x
    x = 557,144,309,241/493,564
  6. Step 6: Final answer
    x = 1,128,818.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.