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Finding the Third Proportional to 564,256.50 and 1,217,086.50

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Solution

The third proportional to 564,256.50 and 1,217,086.50 is: 2,625,223.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,256.50 : 1,217,086.50 = 1,217,086.50 : x
  2. Step 2: Convert to fraction form
    564,256.50/1,217,086.50 = 1,217,086.50/x
  3. Step 3: Cross multiply
    564,256.50x = 1,217,086.50 × 1,217,086.50
  4. Step 4: Simplify right side
    564,256.50x = 1,481,299,548,482.25
  5. Step 5: Solve for x
    x = 1,481,299,548,482.25/564,256.50
  6. Step 6: Final answer
    x = 2,625,223.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.