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Finding the Third Proportional to 493,030 and 704,553

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Solution

The third proportional to 493,030 and 704,553 is: 1,006,825.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,030 : 704,553 = 704,553 : x
  2. Step 2: Convert to fraction form
    493,030/704,553 = 704,553/x
  3. Step 3: Cross multiply
    493,030x = 704,553 × 704,553
  4. Step 4: Simplify right side
    493,030x = 496,394,929,809
  5. Step 5: Solve for x
    x = 496,394,929,809/493,030
  6. Step 6: Final answer
    x = 1,006,825.00

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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.