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Finding the Third Proportional to 226,402 and 523,709

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Solution

The third proportional to 226,402 and 523,709 is: 1,211,434.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,402 : 523,709 = 523,709 : x
  2. Step 2: Convert to fraction form
    226,402/523,709 = 523,709/x
  3. Step 3: Cross multiply
    226,402x = 523,709 × 523,709
  4. Step 4: Simplify right side
    226,402x = 274,271,116,681
  5. Step 5: Solve for x
    x = 274,271,116,681/226,402
  6. Step 6: Final answer
    x = 1,211,434.16

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.