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Finding the Third Proportional to 589,704 and 935,220

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Solution

The third proportional to 589,704 and 935,220 is: 1,483,178.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,704 : 935,220 = 935,220 : x
  2. Step 2: Convert to fraction form
    589,704/935,220 = 935,220/x
  3. Step 3: Cross multiply
    589,704x = 935,220 × 935,220
  4. Step 4: Simplify right side
    589,704x = 874,636,448,400
  5. Step 5: Solve for x
    x = 874,636,448,400/589,704
  6. Step 6: Final answer
    x = 1,483,178.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.