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Finding the Third Proportional to 294,584 and 460,833

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Solution

The third proportional to 294,584 and 460,833 is: 720,904.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,584 : 460,833 = 460,833 : x
  2. Step 2: Convert to fraction form
    294,584/460,833 = 460,833/x
  3. Step 3: Cross multiply
    294,584x = 460,833 × 460,833
  4. Step 4: Simplify right side
    294,584x = 212,367,053,889
  5. Step 5: Solve for x
    x = 212,367,053,889/294,584
  6. Step 6: Final answer
    x = 720,904.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.