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Finding the Third Proportional to 372,620 and 526,746

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Solution

The third proportional to 372,620 and 526,746 is: 744,622.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,620 : 526,746 = 526,746 : x
  2. Step 2: Convert to fraction form
    372,620/526,746 = 526,746/x
  3. Step 3: Cross multiply
    372,620x = 526,746 × 526,746
  4. Step 4: Simplify right side
    372,620x = 277,461,348,516
  5. Step 5: Solve for x
    x = 277,461,348,516/372,620
  6. Step 6: Final answer
    x = 744,622.80

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.