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Finding the Third Proportional to 493,592 and 744,030

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Solution

The third proportional to 493,592 and 744,030 is: 1,121,534.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,592 : 744,030 = 744,030 : x
  2. Step 2: Convert to fraction form
    493,592/744,030 = 744,030/x
  3. Step 3: Cross multiply
    493,592x = 744,030 × 744,030
  4. Step 4: Simplify right side
    493,592x = 553,580,640,900
  5. Step 5: Solve for x
    x = 553,580,640,900/493,592
  6. Step 6: Final answer
    x = 1,121,534.87

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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.