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Finding the Third Proportional to 346,908 and 756,688

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Solution

The third proportional to 346,908 and 756,688 is: 1,650,514.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,908 : 756,688 = 756,688 : x
  2. Step 2: Convert to fraction form
    346,908/756,688 = 756,688/x
  3. Step 3: Cross multiply
    346,908x = 756,688 × 756,688
  4. Step 4: Simplify right side
    346,908x = 572,576,729,344
  5. Step 5: Solve for x
    x = 572,576,729,344/346,908
  6. Step 6: Final answer
    x = 1,650,514.63

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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.