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Finding the Third Proportional to 240,798 and 527,271

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Solution

The third proportional to 240,798 and 527,271 is: 1,154,555.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,798 : 527,271 = 527,271 : x
  2. Step 2: Convert to fraction form
    240,798/527,271 = 527,271/x
  3. Step 3: Cross multiply
    240,798x = 527,271 × 527,271
  4. Step 4: Simplify right side
    240,798x = 278,014,707,441
  5. Step 5: Solve for x
    x = 278,014,707,441/240,798
  6. Step 6: Final answer
    x = 1,154,555.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.