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Finding the Third Proportional to 346,972 and 756,818

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Solution

The third proportional to 346,972 and 756,818 is: 1,650,777.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,972 : 756,818 = 756,818 : x
  2. Step 2: Convert to fraction form
    346,972/756,818 = 756,818/x
  3. Step 3: Cross multiply
    346,972x = 756,818 × 756,818
  4. Step 4: Simplify right side
    346,972x = 572,773,485,124
  5. Step 5: Solve for x
    x = 572,773,485,124/346,972
  6. Step 6: Final answer
    x = 1,650,777.25

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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.