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Finding the Third Proportional to 326,222 and 716,596

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Solution

The third proportional to 326,222 and 716,596 is: 1,574,111.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,222 : 716,596 = 716,596 : x
  2. Step 2: Convert to fraction form
    326,222/716,596 = 716,596/x
  3. Step 3: Cross multiply
    326,222x = 716,596 × 716,596
  4. Step 4: Simplify right side
    326,222x = 513,509,827,216
  5. Step 5: Solve for x
    x = 513,509,827,216/326,222
  6. Step 6: Final answer
    x = 1,574,111.58

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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.