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Finding the Third Proportional to 346,340 and 519,522

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Solution

The third proportional to 346,340 and 519,522 is: 779,301.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,340 : 519,522 = 519,522 : x
  2. Step 2: Convert to fraction form
    346,340/519,522 = 519,522/x
  3. Step 3: Cross multiply
    346,340x = 519,522 × 519,522
  4. Step 4: Simplify right side
    346,340x = 269,903,108,484
  5. Step 5: Solve for x
    x = 269,903,108,484/346,340
  6. Step 6: Final answer
    x = 779,301.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.