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Finding the Third Proportional to 257,017.50 and 553,419

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Solution

The third proportional to 257,017.50 and 553,419 is: 1,191,641.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,017.50 : 553,419 = 553,419 : x
  2. Step 2: Convert to fraction form
    257,017.50/553,419 = 553,419/x
  3. Step 3: Cross multiply
    257,017.50x = 553,419 × 553,419
  4. Step 4: Simplify right side
    257,017.50x = 306,272,589,561
  5. Step 5: Solve for x
    x = 306,272,589,561/257,017.50
  6. Step 6: Final answer
    x = 1,191,641.00

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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.