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Finding the Third Proportional to 560,548 and 805,830

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Solution

The third proportional to 560,548 and 805,830 is: 1,158,441.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,548 : 805,830 = 805,830 : x
  2. Step 2: Convert to fraction form
    560,548/805,830 = 805,830/x
  3. Step 3: Cross multiply
    560,548x = 805,830 × 805,830
  4. Step 4: Simplify right side
    560,548x = 649,361,988,900
  5. Step 5: Solve for x
    x = 649,361,988,900/560,548
  6. Step 6: Final answer
    x = 1,158,441.36

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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.