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Finding the Third Proportional to 346,850 and 756,564

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Solution

The third proportional to 346,850 and 756,564 is: 1,650,249.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,850 : 756,564 = 756,564 : x
  2. Step 2: Convert to fraction form
    346,850/756,564 = 756,564/x
  3. Step 3: Cross multiply
    346,850x = 756,564 × 756,564
  4. Step 4: Simplify right side
    346,850x = 572,389,086,096
  5. Step 5: Solve for x
    x = 572,389,086,096/346,850
  6. Step 6: Final answer
    x = 1,650,249.64

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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.