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Finding the Third Proportional to 594,404 and 902,959

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Solution

The third proportional to 594,404 and 902,959 is: 1,371,684.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,404 : 902,959 = 902,959 : x
  2. Step 2: Convert to fraction form
    594,404/902,959 = 902,959/x
  3. Step 3: Cross multiply
    594,404x = 902,959 × 902,959
  4. Step 4: Simplify right side
    594,404x = 815,334,955,681
  5. Step 5: Solve for x
    x = 815,334,955,681/594,404
  6. Step 6: Final answer
    x = 1,371,684.84

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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.