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Finding the Third Proportional to 294,582 and 460,830

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Solution

The third proportional to 294,582 and 460,830 is: 720,900.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,582 : 460,830 = 460,830 : x
  2. Step 2: Convert to fraction form
    294,582/460,830 = 460,830/x
  3. Step 3: Cross multiply
    294,582x = 460,830 × 460,830
  4. Step 4: Simplify right side
    294,582x = 212,364,288,900
  5. Step 5: Solve for x
    x = 212,364,288,900/294,582
  6. Step 6: Final answer
    x = 720,900.42

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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.