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Finding the Third Proportional to 560,560 and 805,848

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Solution

The third proportional to 560,560 and 805,848 is: 1,158,468.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,560 : 805,848 = 805,848 : x
  2. Step 2: Convert to fraction form
    560,560/805,848 = 805,848/x
  3. Step 3: Cross multiply
    560,560x = 805,848 × 805,848
  4. Step 4: Simplify right side
    560,560x = 649,390,999,104
  5. Step 5: Solve for x
    x = 649,390,999,104/560,560
  6. Step 6: Final answer
    x = 1,158,468.32

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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.