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Finding the Third Proportional to 346,776 and 757,056

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Solution

The third proportional to 346,776 and 757,056 is: 1,652,749.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,776 : 757,056 = 757,056 : x
  2. Step 2: Convert to fraction form
    346,776/757,056 = 757,056/x
  3. Step 3: Cross multiply
    346,776x = 757,056 × 757,056
  4. Step 4: Simplify right side
    346,776x = 573,133,787,136
  5. Step 5: Solve for x
    x = 573,133,787,136/346,776
  6. Step 6: Final answer
    x = 1,652,749.29

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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.