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Finding the Third Proportional to 472,756.50 and 709,618.85

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Solution

The third proportional to 472,756.50 and 709,618.85 is: 1,065,154.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,756.50 : 709,618.85 = 709,618.85 : x
  2. Step 2: Convert to fraction form
    472,756.50/709,618.85 = 709,618.85/x
  3. Step 3: Cross multiply
    472,756.50x = 709,618.85 × 709,618.85
  4. Step 4: Simplify right side
    472,756.50x = 503,558,914,492.88
  5. Step 5: Solve for x
    x = 503,558,914,492.88/472,756.50
  6. Step 6: Final answer
    x = 1,065,154.93

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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.