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Finding the Third Proportional to 340,948 and 529,362

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Solution

The third proportional to 340,948 and 529,362 is: 821,896.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,948 : 529,362 = 529,362 : x
  2. Step 2: Convert to fraction form
    340,948/529,362 = 529,362/x
  3. Step 3: Cross multiply
    340,948x = 529,362 × 529,362
  4. Step 4: Simplify right side
    340,948x = 280,224,127,044
  5. Step 5: Solve for x
    x = 280,224,127,044/340,948
  6. Step 6: Final answer
    x = 821,896.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.