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Finding the Third Proportional to 433,764 and 932,724

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Solution

The third proportional to 433,764 and 932,724 is: 2,005,639.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,764 : 932,724 = 932,724 : x
  2. Step 2: Convert to fraction form
    433,764/932,724 = 932,724/x
  3. Step 3: Cross multiply
    433,764x = 932,724 × 932,724
  4. Step 4: Simplify right side
    433,764x = 869,974,060,176
  5. Step 5: Solve for x
    x = 869,974,060,176/433,764
  6. Step 6: Final answer
    x = 2,005,639.15

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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.