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Finding the Third Proportional to 560,664 and 805,932

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Solution

The third proportional to 560,664 and 805,932 is: 1,158,494.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,664 : 805,932 = 805,932 : x
  2. Step 2: Convert to fraction form
    560,664/805,932 = 805,932/x
  3. Step 3: Cross multiply
    560,664x = 805,932 × 805,932
  4. Step 4: Simplify right side
    560,664x = 649,526,388,624
  5. Step 5: Solve for x
    x = 649,526,388,624/560,664
  6. Step 6: Final answer
    x = 1,158,494.91

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.