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Finding the Third Proportional to 535,724 and 727,578

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Solution

The third proportional to 535,724 and 727,578 is: 988,138.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,724 : 727,578 = 727,578 : x
  2. Step 2: Convert to fraction form
    535,724/727,578 = 727,578/x
  3. Step 3: Cross multiply
    535,724x = 727,578 × 727,578
  4. Step 4: Simplify right side
    535,724x = 529,369,746,084
  5. Step 5: Solve for x
    x = 529,369,746,084/535,724
  6. Step 6: Final answer
    x = 988,138.94

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.