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Finding the Third Proportional to 593,433 and 943,488

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Solution

The third proportional to 593,433 and 943,488 is: 1,500,033.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,433 : 943,488 = 943,488 : x
  2. Step 2: Convert to fraction form
    593,433/943,488 = 943,488/x
  3. Step 3: Cross multiply
    593,433x = 943,488 × 943,488
  4. Step 4: Simplify right side
    593,433x = 890,169,606,144
  5. Step 5: Solve for x
    x = 890,169,606,144/593,433
  6. Step 6: Final answer
    x = 1,500,033.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.