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Finding the Third Proportional to 346,096.13 and 523,752.75

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Solution

The third proportional to 346,096.13 and 523,752.75 is: 792,603.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,096.13 : 523,752.75 = 523,752.75 : x
  2. Step 2: Convert to fraction form
    346,096.13/523,752.75 = 523,752.75/x
  3. Step 3: Cross multiply
    346,096.13x = 523,752.75 × 523,752.75
  4. Step 4: Simplify right side
    346,096.13x = 274,316,943,132.56
  5. Step 5: Solve for x
    x = 274,316,943,132.56/346,096.13
  6. Step 6: Final answer
    x = 792,603.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.