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Finding the Third Proportional to 538,004 and 805,973

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Solution

The third proportional to 538,004 and 805,973 is: 1,207,411.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,004 : 805,973 = 805,973 : x
  2. Step 2: Convert to fraction form
    538,004/805,973 = 805,973/x
  3. Step 3: Cross multiply
    538,004x = 805,973 × 805,973
  4. Step 4: Simplify right side
    538,004x = 649,592,476,729
  5. Step 5: Solve for x
    x = 649,592,476,729/538,004
  6. Step 6: Final answer
    x = 1,207,411.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.