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Finding the Third Proportional to 294,664 and 645,056

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Solution

The third proportional to 294,664 and 645,056 is: 1,412,107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,664 : 645,056 = 645,056 : x
  2. Step 2: Convert to fraction form
    294,664/645,056 = 645,056/x
  3. Step 3: Cross multiply
    294,664x = 645,056 × 645,056
  4. Step 4: Simplify right side
    294,664x = 416,097,243,136
  5. Step 5: Solve for x
    x = 416,097,243,136/294,664
  6. Step 6: Final answer
    x = 1,412,107.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.