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Finding the Third Proportional to 326,235 and 716,300

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Solution

The third proportional to 326,235 and 716,300 is: 1,572,748.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,235 : 716,300 = 716,300 : x
  2. Step 2: Convert to fraction form
    326,235/716,300 = 716,300/x
  3. Step 3: Cross multiply
    326,235x = 716,300 × 716,300
  4. Step 4: Simplify right side
    326,235x = 513,085,690,000
  5. Step 5: Solve for x
    x = 513,085,690,000/326,235
  6. Step 6: Final answer
    x = 1,572,748.75

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