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Finding the Third Proportional to 346,249,662 and 517,646,260

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Solution

The third proportional to 346,249,662 and 517,646,260 is: 773,885,666.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,249,662 : 517,646,260 = 517,646,260 : x
  2. Step 2: Convert to fraction form
    346,249,662/517,646,260 = 517,646,260/x
  3. Step 3: Cross multiply
    346,249,662x = 517,646,260 × 517,646,260
  4. Step 4: Simplify right side
    346,249,662x = 267,957,650,491,987,584
  5. Step 5: Solve for x
    x = 267,957,650,491,987,584/346,249,662
  6. Step 6: Final answer
    x = 773,885,666.61

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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.