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Finding the Third Proportional to 528,826.50 and 805,633.50

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Solution

The third proportional to 528,826.50 and 805,633.50 is: 1,227,331.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,826.50 : 805,633.50 = 805,633.50 : x
  2. Step 2: Convert to fraction form
    528,826.50/805,633.50 = 805,633.50/x
  3. Step 3: Cross multiply
    528,826.50x = 805,633.50 × 805,633.50
  4. Step 4: Simplify right side
    528,826.50x = 649,045,336,322.25
  5. Step 5: Solve for x
    x = 649,045,336,322.25/528,826.50
  6. Step 6: Final answer
    x = 1,227,331.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.