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Finding the Third Proportional to 327,767,897 and 715,585,347

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Solution

The third proportional to 327,767,897 and 715,585,347 is: 1,562,271,331.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,767,897 : 715,585,347 = 715,585,347 : x
  2. Step 2: Convert to fraction form
    327,767,897/715,585,347 = 715,585,347/x
  3. Step 3: Cross multiply
    327,767,897x = 715,585,347 × 715,585,347
  4. Step 4: Simplify right side
    327,767,897x = 512,062,388,841,110,400
  5. Step 5: Solve for x
    x = 512,062,388,841,110,400/327,767,897
  6. Step 6: Final answer
    x = 1,562,271,331.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.