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Finding the Third Proportional to 472,400 and 717,348

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Solution

The third proportional to 472,400 and 717,348 is: 1,089,306.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,400 : 717,348 = 717,348 : x
  2. Step 2: Convert to fraction form
    472,400/717,348 = 717,348/x
  3. Step 3: Cross multiply
    472,400x = 717,348 × 717,348
  4. Step 4: Simplify right side
    472,400x = 514,588,153,104
  5. Step 5: Solve for x
    x = 514,588,153,104/472,400
  6. Step 6: Final answer
    x = 1,089,306.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.