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Finding the Third Proportional to 326,215 and 716,582

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Solution

The third proportional to 326,215 and 716,582 is: 1,574,083.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,215 : 716,582 = 716,582 : x
  2. Step 2: Convert to fraction form
    326,215/716,582 = 716,582/x
  3. Step 3: Cross multiply
    326,215x = 716,582 × 716,582
  4. Step 4: Simplify right side
    326,215x = 513,489,762,724
  5. Step 5: Solve for x
    x = 513,489,762,724/326,215
  6. Step 6: Final answer
    x = 1,574,083.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.