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Finding the Third Proportional to 563,544 and 845,586

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Solution

The third proportional to 563,544 and 845,586 is: 1,268,784.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,544 : 845,586 = 845,586 : x
  2. Step 2: Convert to fraction form
    563,544/845,586 = 845,586/x
  3. Step 3: Cross multiply
    563,544x = 845,586 × 845,586
  4. Step 4: Simplify right side
    563,544x = 715,015,683,396
  5. Step 5: Solve for x
    x = 715,015,683,396/563,544
  6. Step 6: Final answer
    x = 1,268,784.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.