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Finding the Third Proportional to 326,506 and 504,535

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Solution

The third proportional to 326,506 and 504,535 is: 779,635.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,506 : 504,535 = 504,535 : x
  2. Step 2: Convert to fraction form
    326,506/504,535 = 504,535/x
  3. Step 3: Cross multiply
    326,506x = 504,535 × 504,535
  4. Step 4: Simplify right side
    326,506x = 254,555,566,225
  5. Step 5: Solve for x
    x = 254,555,566,225/326,506
  6. Step 6: Final answer
    x = 779,635.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.