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Finding the Third Proportional to 372,726 and 590,445

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Solution

The third proportional to 372,726 and 590,445 is: 935,339.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,726 : 590,445 = 590,445 : x
  2. Step 2: Convert to fraction form
    372,726/590,445 = 590,445/x
  3. Step 3: Cross multiply
    372,726x = 590,445 × 590,445
  4. Step 4: Simplify right side
    372,726x = 348,625,298,025
  5. Step 5: Solve for x
    x = 348,625,298,025/372,726
  6. Step 6: Final answer
    x = 935,339.36

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.