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Finding the Third Proportional to 294,580 and 460,820

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Solution

The third proportional to 294,580 and 460,820 is: 720,874.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,580 : 460,820 = 460,820 : x
  2. Step 2: Convert to fraction form
    294,580/460,820 = 460,820/x
  3. Step 3: Cross multiply
    294,580x = 460,820 × 460,820
  4. Step 4: Simplify right side
    294,580x = 212,355,072,400
  5. Step 5: Solve for x
    x = 212,355,072,400/294,580
  6. Step 6: Final answer
    x = 720,874.03

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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.