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Finding the Third Proportional to 528,828.75 and 805,632.38

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Solution

The third proportional to 528,828.75 and 805,632.38 is: 1,227,322.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,828.75 : 805,632.38 = 805,632.38 : x
  2. Step 2: Convert to fraction form
    528,828.75/805,632.38 = 805,632.38/x
  3. Step 3: Cross multiply
    528,828.75x = 805,632.38 × 805,632.38
  4. Step 4: Simplify right side
    528,828.75x = 649,043,523,648.14
  5. Step 5: Solve for x
    x = 649,043,523,648.14/528,828.75
  6. Step 6: Final answer
    x = 1,227,322.69

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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.