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Finding the Third Proportional to 493,022 and 704,541

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Solution

The third proportional to 493,022 and 704,541 is: 1,006,807.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,022 : 704,541 = 704,541 : x
  2. Step 2: Convert to fraction form
    493,022/704,541 = 704,541/x
  3. Step 3: Cross multiply
    493,022x = 704,541 × 704,541
  4. Step 4: Simplify right side
    493,022x = 496,378,020,681
  5. Step 5: Solve for x
    x = 496,378,020,681/493,022
  6. Step 6: Final answer
    x = 1,006,807.04

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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.