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Finding the Third Proportional to 309,461,977.88 and 462,966,008.25

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Solution

The third proportional to 309,461,977.88 and 462,966,008.25 is: 692,613,439.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,461,977.88 : 462,966,008.25 = 462,966,008.25 : x
  2. Step 2: Convert to fraction form
    309,461,977.88/462,966,008.25 = 462,966,008.25/x
  3. Step 3: Cross multiply
    309,461,977.88x = 462,966,008.25 × 462,966,008.25
  4. Step 4: Simplify right side
    309,461,977.88x = 214,337,524,794,939,072
  5. Step 5: Solve for x
    x = 214,337,524,794,939,072/309,461,977.88
  6. Step 6: Final answer
    x = 692,613,439.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.