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Finding the Third Proportional to 390,841,416 and 595,431,579

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Solution

The third proportional to 390,841,416 and 595,431,579 is: 907,116,673.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,841,416 : 595,431,579 = 595,431,579 : x
  2. Step 2: Convert to fraction form
    390,841,416/595,431,579 = 595,431,579/x
  3. Step 3: Cross multiply
    390,841,416x = 595,431,579 × 595,431,579
  4. Step 4: Simplify right side
    390,841,416x = 354,538,765,270,433,216
  5. Step 5: Solve for x
    x = 354,538,765,270,433,216/390,841,416
  6. Step 6: Final answer
    x = 907,116,673.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.