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Finding the Third Proportional to 493,028 and 704,550

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Solution

The third proportional to 493,028 and 704,550 is: 1,006,820.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,028 : 704,550 = 704,550 : x
  2. Step 2: Convert to fraction form
    493,028/704,550 = 704,550/x
  3. Step 3: Cross multiply
    493,028x = 704,550 × 704,550
  4. Step 4: Simplify right side
    493,028x = 496,390,702,500
  5. Step 5: Solve for x
    x = 496,390,702,500/493,028
  6. Step 6: Final answer
    x = 1,006,820.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.