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Finding the Third Proportional to 573,852 and 842,346

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Solution

The third proportional to 573,852 and 842,346 is: 1,236,463.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,852 : 842,346 = 842,346 : x
  2. Step 2: Convert to fraction form
    573,852/842,346 = 842,346/x
  3. Step 3: Cross multiply
    573,852x = 842,346 × 842,346
  4. Step 4: Simplify right side
    573,852x = 709,546,783,716
  5. Step 5: Solve for x
    x = 709,546,783,716/573,852
  6. Step 6: Final answer
    x = 1,236,463.03

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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.