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Finding the Third Proportional to 326,938 and 705,514

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Solution

The third proportional to 326,938 and 705,514 is: 1,522,459.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,938 : 705,514 = 705,514 : x
  2. Step 2: Convert to fraction form
    326,938/705,514 = 705,514/x
  3. Step 3: Cross multiply
    326,938x = 705,514 × 705,514
  4. Step 4: Simplify right side
    326,938x = 497,750,004,196
  5. Step 5: Solve for x
    x = 497,750,004,196/326,938
  6. Step 6: Final answer
    x = 1,522,459.93

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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.