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Finding the Third Proportional to 566,914 and 879,078

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Solution

The third proportional to 566,914 and 879,078 is: 1,363,131.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,914 : 879,078 = 879,078 : x
  2. Step 2: Convert to fraction form
    566,914/879,078 = 879,078/x
  3. Step 3: Cross multiply
    566,914x = 879,078 × 879,078
  4. Step 4: Simplify right side
    566,914x = 772,778,130,084
  5. Step 5: Solve for x
    x = 772,778,130,084/566,914
  6. Step 6: Final answer
    x = 1,363,131.15

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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.