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Finding the Third Proportional to 454,243.50 and 705,330

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Solution

The third proportional to 454,243.50 and 705,330 is: 1,095,206.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,243.50 : 705,330 = 705,330 : x
  2. Step 2: Convert to fraction form
    454,243.50/705,330 = 705,330/x
  3. Step 3: Cross multiply
    454,243.50x = 705,330 × 705,330
  4. Step 4: Simplify right side
    454,243.50x = 497,490,408,900
  5. Step 5: Solve for x
    x = 497,490,408,900/454,243.50
  6. Step 6: Final answer
    x = 1,095,206.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.