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Finding the Third Proportional to 286,401 and 565,572

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Solution

The third proportional to 286,401 and 565,572 is: 1,116,866.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,401 : 565,572 = 565,572 : x
  2. Step 2: Convert to fraction form
    286,401/565,572 = 565,572/x
  3. Step 3: Cross multiply
    286,401x = 565,572 × 565,572
  4. Step 4: Simplify right side
    286,401x = 319,871,687,184
  5. Step 5: Solve for x
    x = 319,871,687,184/286,401
  6. Step 6: Final answer
    x = 1,116,866.52

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.