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Finding the Third Proportional to 565,584 and 791,159

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Solution

The third proportional to 565,584 and 791,159 is: 1,106,701.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,584 : 791,159 = 791,159 : x
  2. Step 2: Convert to fraction form
    565,584/791,159 = 791,159/x
  3. Step 3: Cross multiply
    565,584x = 791,159 × 791,159
  4. Step 4: Simplify right side
    565,584x = 625,932,563,281
  5. Step 5: Solve for x
    x = 625,932,563,281/565,584
  6. Step 6: Final answer
    x = 1,106,701.33

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.