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Finding the Third Proportional to 336,306 and 560,509.50

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Solution

The third proportional to 336,306 and 560,509.50 is: 934,181.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,306 : 560,509.50 = 560,509.50 : x
  2. Step 2: Convert to fraction form
    336,306/560,509.50 = 560,509.50/x
  3. Step 3: Cross multiply
    336,306x = 560,509.50 × 560,509.50
  4. Step 4: Simplify right side
    336,306x = 314,170,899,590.25
  5. Step 5: Solve for x
    x = 314,170,899,590.25/336,306
  6. Step 6: Final answer
    x = 934,181.67

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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.