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Finding the Third Proportional to 566,916 and 879,076

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Solution

The third proportional to 566,916 and 879,076 is: 1,363,120.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,916 : 879,076 = 879,076 : x
  2. Step 2: Convert to fraction form
    566,916/879,076 = 879,076/x
  3. Step 3: Cross multiply
    566,916x = 879,076 × 879,076
  4. Step 4: Simplify right side
    566,916x = 772,774,613,776
  5. Step 5: Solve for x
    x = 772,774,613,776/566,916
  6. Step 6: Final answer
    x = 1,363,120.13

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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.