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Finding the Third Proportional to 228,426 and 526,461

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Solution

The third proportional to 228,426 and 526,461 is: 1,213,352.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,426 : 526,461 = 526,461 : x
  2. Step 2: Convert to fraction form
    228,426/526,461 = 526,461/x
  3. Step 3: Cross multiply
    228,426x = 526,461 × 526,461
  4. Step 4: Simplify right side
    228,426x = 277,161,184,521
  5. Step 5: Solve for x
    x = 277,161,184,521/228,426
  6. Step 6: Final answer
    x = 1,213,352.18

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.