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Finding the Third Proportional to 316,582 and 693,201

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Solution

The third proportional to 316,582 and 693,201 is: 1,517,861.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,582 : 693,201 = 693,201 : x
  2. Step 2: Convert to fraction form
    316,582/693,201 = 693,201/x
  3. Step 3: Cross multiply
    316,582x = 693,201 × 693,201
  4. Step 4: Simplify right side
    316,582x = 480,527,626,401
  5. Step 5: Solve for x
    x = 480,527,626,401/316,582
  6. Step 6: Final answer
    x = 1,517,861.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.