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Finding the Third Proportional to 245,004 and 527,545

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Solution

The third proportional to 245,004 and 527,545 is: 1,135,915.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,004 : 527,545 = 527,545 : x
  2. Step 2: Convert to fraction form
    245,004/527,545 = 527,545/x
  3. Step 3: Cross multiply
    245,004x = 527,545 × 527,545
  4. Step 4: Simplify right side
    245,004x = 278,303,727,025
  5. Step 5: Solve for x
    x = 278,303,727,025/245,004
  6. Step 6: Final answer
    x = 1,135,915.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.