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Finding the Third Proportional to 337,340 and 526,746

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Solution

The third proportional to 337,340 and 526,746 is: 822,497.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,340 : 526,746 = 526,746 : x
  2. Step 2: Convert to fraction form
    337,340/526,746 = 526,746/x
  3. Step 3: Cross multiply
    337,340x = 526,746 × 526,746
  4. Step 4: Simplify right side
    337,340x = 277,461,348,516
  5. Step 5: Solve for x
    x = 277,461,348,516/337,340
  6. Step 6: Final answer
    x = 822,497.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.