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Finding the Third Proportional to 402,427.50 and 564,039

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Solution

The third proportional to 402,427.50 and 564,039 is: 790,552.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,427.50 : 564,039 = 564,039 : x
  2. Step 2: Convert to fraction form
    402,427.50/564,039 = 564,039/x
  3. Step 3: Cross multiply
    402,427.50x = 564,039 × 564,039
  4. Step 4: Simplify right side
    402,427.50x = 318,139,993,521
  5. Step 5: Solve for x
    x = 318,139,993,521/402,427.50
  6. Step 6: Final answer
    x = 790,552.32

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.