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Finding the Third Proportional to 573,884 and 842,394

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Solution

The third proportional to 573,884 and 842,394 is: 1,236,535.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,884 : 842,394 = 842,394 : x
  2. Step 2: Convert to fraction form
    573,884/842,394 = 842,394/x
  3. Step 3: Cross multiply
    573,884x = 842,394 × 842,394
  4. Step 4: Simplify right side
    573,884x = 709,627,651,236
  5. Step 5: Solve for x
    x = 709,627,651,236/573,884
  6. Step 6: Final answer
    x = 1,236,535.00

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.