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Finding the Third Proportional to 623,718 and 965,385

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Solution

The third proportional to 623,718 and 965,385 is: 1,494,214.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,718 : 965,385 = 965,385 : x
  2. Step 2: Convert to fraction form
    623,718/965,385 = 965,385/x
  3. Step 3: Cross multiply
    623,718x = 965,385 × 965,385
  4. Step 4: Simplify right side
    623,718x = 931,968,198,225
  5. Step 5: Solve for x
    x = 931,968,198,225/623,718
  6. Step 6: Final answer
    x = 1,494,214.05

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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.