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Finding the Third Proportional to 326,234 and 716,620

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Solution

The third proportional to 326,234 and 716,620 is: 1,574,159.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,234 : 716,620 = 716,620 : x
  2. Step 2: Convert to fraction form
    326,234/716,620 = 716,620/x
  3. Step 3: Cross multiply
    326,234x = 716,620 × 716,620
  4. Step 4: Simplify right side
    326,234x = 513,544,224,400
  5. Step 5: Solve for x
    x = 513,544,224,400/326,234
  6. Step 6: Final answer
    x = 1,574,159.11

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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.