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Finding the Third Proportional to 656,216 and 997,598

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Solution

The third proportional to 656,216 and 997,598 is: 1,516,576.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,216 : 997,598 = 997,598 : x
  2. Step 2: Convert to fraction form
    656,216/997,598 = 997,598/x
  3. Step 3: Cross multiply
    656,216x = 997,598 × 997,598
  4. Step 4: Simplify right side
    656,216x = 995,201,769,604
  5. Step 5: Solve for x
    x = 995,201,769,604/656,216
  6. Step 6: Final answer
    x = 1,516,576.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.