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Finding the Third Proportional to 326,806,882 and 705,259,080

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Solution

The third proportional to 326,806,882 and 705,259,080 is: 1,521,970,305.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,806,882 : 705,259,080 = 705,259,080 : x
  2. Step 2: Convert to fraction form
    326,806,882/705,259,080 = 705,259,080/x
  3. Step 3: Cross multiply
    326,806,882x = 705,259,080 × 705,259,080
  4. Step 4: Simplify right side
    326,806,882x = 497,390,369,922,446,400
  5. Step 5: Solve for x
    x = 497,390,369,922,446,400/326,806,882
  6. Step 6: Final answer
    x = 1,521,970,305.15

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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.