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Finding the Third Proportional to 560,535 and 805,809

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Solution

The third proportional to 560,535 and 805,809 is: 1,158,407.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,535 : 805,809 = 805,809 : x
  2. Step 2: Convert to fraction form
    560,535/805,809 = 805,809/x
  3. Step 3: Cross multiply
    560,535x = 805,809 × 805,809
  4. Step 4: Simplify right side
    560,535x = 649,328,144,481
  5. Step 5: Solve for x
    x = 649,328,144,481/560,535
  6. Step 6: Final answer
    x = 1,158,407.85

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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.