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Finding the Third Proportional to 566,916 and 877,759

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Solution

The third proportional to 566,916 and 877,759 is: 1,359,038.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,916 : 877,759 = 877,759 : x
  2. Step 2: Convert to fraction form
    566,916/877,759 = 877,759/x
  3. Step 3: Cross multiply
    566,916x = 877,759 × 877,759
  4. Step 4: Simplify right side
    566,916x = 770,460,862,081
  5. Step 5: Solve for x
    x = 770,460,862,081/566,916
  6. Step 6: Final answer
    x = 1,359,038.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.