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Finding the Third Proportional to 563,496.75 and 845,488.13

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Solution

The third proportional to 563,496.75 and 845,488.13 is: 1,268,596.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,496.75 : 845,488.13 = 845,488.13 : x
  2. Step 2: Convert to fraction form
    563,496.75/845,488.13 = 845,488.13/x
  3. Step 3: Cross multiply
    563,496.75x = 845,488.13 × 845,488.13
  4. Step 4: Simplify right side
    563,496.75x = 714,850,169,516.02
  5. Step 5: Solve for x
    x = 714,850,169,516.02/563,496.75
  6. Step 6: Final answer
    x = 1,268,596.79

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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.