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Finding the Third Proportional to 433,566 and 681,033

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Solution

The third proportional to 433,566 and 681,033 is: 1,069,747.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,566 : 681,033 = 681,033 : x
  2. Step 2: Convert to fraction form
    433,566/681,033 = 681,033/x
  3. Step 3: Cross multiply
    433,566x = 681,033 × 681,033
  4. Step 4: Simplify right side
    433,566x = 463,805,947,089
  5. Step 5: Solve for x
    x = 463,805,947,089/433,566
  6. Step 6: Final answer
    x = 1,069,747.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.