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Finding the Third Proportional to 336,306 and 560,509

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Solution

The third proportional to 336,306 and 560,509 is: 934,180.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,306 : 560,509 = 560,509 : x
  2. Step 2: Convert to fraction form
    336,306/560,509 = 560,509/x
  3. Step 3: Cross multiply
    336,306x = 560,509 × 560,509
  4. Step 4: Simplify right side
    336,306x = 314,170,339,081
  5. Step 5: Solve for x
    x = 314,170,339,081/336,306
  6. Step 6: Final answer
    x = 934,180.00

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.