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Finding the Third Proportional to 358,492.50 and 782,200.13

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Solution

The third proportional to 358,492.50 and 782,200.13 is: 1,706,694.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,492.50 : 782,200.13 = 782,200.13 : x
  2. Step 2: Convert to fraction form
    358,492.50/782,200.13 = 782,200.13/x
  3. Step 3: Cross multiply
    358,492.50x = 782,200.13 × 782,200.13
  4. Step 4: Simplify right side
    358,492.50x = 611,837,035,550.02
  5. Step 5: Solve for x
    x = 611,837,035,550.02/358,492.50
  6. Step 6: Final answer
    x = 1,706,694.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.