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Finding the Third Proportional to 326,918 and 705,442

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Solution

The third proportional to 326,918 and 705,442 is: 1,522,242.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,918 : 705,442 = 705,442 : x
  2. Step 2: Convert to fraction form
    326,918/705,442 = 705,442/x
  3. Step 3: Cross multiply
    326,918x = 705,442 × 705,442
  4. Step 4: Simplify right side
    326,918x = 497,648,415,364
  5. Step 5: Solve for x
    x = 497,648,415,364/326,918
  6. Step 6: Final answer
    x = 1,522,242.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.