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Finding the Third Proportional to 349,054 and 560,024

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Solution

The third proportional to 349,054 and 560,024 is: 898,505.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,054 : 560,024 = 560,024 : x
  2. Step 2: Convert to fraction form
    349,054/560,024 = 560,024/x
  3. Step 3: Cross multiply
    349,054x = 560,024 × 560,024
  4. Step 4: Simplify right side
    349,054x = 313,626,880,576
  5. Step 5: Solve for x
    x = 313,626,880,576/349,054
  6. Step 6: Final answer
    x = 898,505.33

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.