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Finding the Third Proportional to 560,546 and 805,827

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Solution

The third proportional to 560,546 and 805,827 is: 1,158,436.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,546 : 805,827 = 805,827 : x
  2. Step 2: Convert to fraction form
    560,546/805,827 = 805,827/x
  3. Step 3: Cross multiply
    560,546x = 805,827 × 805,827
  4. Step 4: Simplify right side
    560,546x = 649,357,153,929
  5. Step 5: Solve for x
    x = 649,357,153,929/560,546
  6. Step 6: Final answer
    x = 1,158,436.87

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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.