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Finding the Third Proportional to 466,260 and 684,090

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Solution

The third proportional to 466,260 and 684,090 is: 1,003,687.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,260 : 684,090 = 684,090 : x
  2. Step 2: Convert to fraction form
    466,260/684,090 = 684,090/x
  3. Step 3: Cross multiply
    466,260x = 684,090 × 684,090
  4. Step 4: Simplify right side
    466,260x = 467,979,128,100
  5. Step 5: Solve for x
    x = 467,979,128,100/466,260
  6. Step 6: Final answer
    x = 1,003,687.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.