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Finding the Third Proportional to 346,846 and 756,557

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Solution

The third proportional to 346,846 and 756,557 is: 1,650,238.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,846 : 756,557 = 756,557 : x
  2. Step 2: Convert to fraction form
    346,846/756,557 = 756,557/x
  3. Step 3: Cross multiply
    346,846x = 756,557 × 756,557
  4. Step 4: Simplify right side
    346,846x = 572,378,494,249
  5. Step 5: Solve for x
    x = 572,378,494,249/346,846
  6. Step 6: Final answer
    x = 1,650,238.13

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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.