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Finding the Third Proportional to 223,461 and 510,534

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Solution

The third proportional to 223,461 and 510,534 is: 1,166,400.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,461 : 510,534 = 510,534 : x
  2. Step 2: Convert to fraction form
    223,461/510,534 = 510,534/x
  3. Step 3: Cross multiply
    223,461x = 510,534 × 510,534
  4. Step 4: Simplify right side
    223,461x = 260,644,965,156
  5. Step 5: Solve for x
    x = 260,644,965,156/223,461
  6. Step 6: Final answer
    x = 1,166,400.25

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.