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Finding the Third Proportional to 405,754 and 593,607

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Solution

The third proportional to 405,754 and 593,607 is: 868,430.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,754 : 593,607 = 593,607 : x
  2. Step 2: Convert to fraction form
    405,754/593,607 = 593,607/x
  3. Step 3: Cross multiply
    405,754x = 593,607 × 593,607
  4. Step 4: Simplify right side
    405,754x = 352,369,270,449
  5. Step 5: Solve for x
    x = 352,369,270,449/405,754
  6. Step 6: Final answer
    x = 868,430.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.