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Finding the Third Proportional to 468,121.50 and 705,492

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Solution

The third proportional to 468,121.50 and 705,492 is: 1,063,226.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,121.50 : 705,492 = 705,492 : x
  2. Step 2: Convert to fraction form
    468,121.50/705,492 = 705,492/x
  3. Step 3: Cross multiply
    468,121.50x = 705,492 × 705,492
  4. Step 4: Simplify right side
    468,121.50x = 497,718,962,064
  5. Step 5: Solve for x
    x = 497,718,962,064/468,121.50
  6. Step 6: Final answer
    x = 1,063,226.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.