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Finding the Third Proportional to 366,350 and 772,060

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Solution

The third proportional to 366,350 and 772,060 is: 1,627,068.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,350 : 772,060 = 772,060 : x
  2. Step 2: Convert to fraction form
    366,350/772,060 = 772,060/x
  3. Step 3: Cross multiply
    366,350x = 772,060 × 772,060
  4. Step 4: Simplify right side
    366,350x = 596,076,643,600
  5. Step 5: Solve for x
    x = 596,076,643,600/366,350
  6. Step 6: Final answer
    x = 1,627,068.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.