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Finding the Third Proportional to 466,272 and 708,516

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Solution

The third proportional to 466,272 and 708,516 is: 1,076,613.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,272 : 708,516 = 708,516 : x
  2. Step 2: Convert to fraction form
    466,272/708,516 = 708,516/x
  3. Step 3: Cross multiply
    466,272x = 708,516 × 708,516
  4. Step 4: Simplify right side
    466,272x = 501,994,922,256
  5. Step 5: Solve for x
    x = 501,994,922,256/466,272
  6. Step 6: Final answer
    x = 1,076,613.91

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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.