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Finding the Third Proportional to 623,952 and 965,328

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Solution

The third proportional to 623,952 and 965,328 is: 1,493,477.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,952 : 965,328 = 965,328 : x
  2. Step 2: Convert to fraction form
    623,952/965,328 = 965,328/x
  3. Step 3: Cross multiply
    623,952x = 965,328 × 965,328
  4. Step 4: Simplify right side
    623,952x = 931,858,147,584
  5. Step 5: Solve for x
    x = 931,858,147,584/623,952
  6. Step 6: Final answer
    x = 1,493,477.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.