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Finding the Third Proportional to 374,300 and 560,964

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Solution

The third proportional to 374,300 and 560,964 is: 840,717.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,300 : 560,964 = 560,964 : x
  2. Step 2: Convert to fraction form
    374,300/560,964 = 560,964/x
  3. Step 3: Cross multiply
    374,300x = 560,964 × 560,964
  4. Step 4: Simplify right side
    374,300x = 314,680,609,296
  5. Step 5: Solve for x
    x = 314,680,609,296/374,300
  6. Step 6: Final answer
    x = 840,717.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.