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Finding the Third Proportional to 228,506 and 510,004

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Solution

The third proportional to 228,506 and 510,004 is: 1,138,281.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,506 : 510,004 = 510,004 : x
  2. Step 2: Convert to fraction form
    228,506/510,004 = 510,004/x
  3. Step 3: Cross multiply
    228,506x = 510,004 × 510,004
  4. Step 4: Simplify right side
    228,506x = 260,104,080,016
  5. Step 5: Solve for x
    x = 260,104,080,016/228,506
  6. Step 6: Final answer
    x = 1,138,281.18

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.