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Finding the Third Proportional to 336,402 and 560,641

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Solution

The third proportional to 336,402 and 560,641 is: 934,353.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,402 : 560,641 = 560,641 : x
  2. Step 2: Convert to fraction form
    336,402/560,641 = 560,641/x
  3. Step 3: Cross multiply
    336,402x = 560,641 × 560,641
  4. Step 4: Simplify right side
    336,402x = 314,318,330,881
  5. Step 5: Solve for x
    x = 314,318,330,881/336,402
  6. Step 6: Final answer
    x = 934,353.34

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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.