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Finding the Third Proportional to 323,883 and 711,534

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Solution

The third proportional to 323,883 and 711,534 is: 1,563,159.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,883 : 711,534 = 711,534 : x
  2. Step 2: Convert to fraction form
    323,883/711,534 = 711,534/x
  3. Step 3: Cross multiply
    323,883x = 711,534 × 711,534
  4. Step 4: Simplify right side
    323,883x = 506,280,633,156
  5. Step 5: Solve for x
    x = 506,280,633,156/323,883
  6. Step 6: Final answer
    x = 1,563,159.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.