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Finding the Third Proportional to 531,346.50 and 617,716.13

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Solution

The third proportional to 531,346.50 and 617,716.13 is: 718,125.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,346.50 : 617,716.13 = 617,716.13 : x
  2. Step 2: Convert to fraction form
    531,346.50/617,716.13 = 617,716.13/x
  3. Step 3: Cross multiply
    531,346.50x = 617,716.13 × 617,716.13
  4. Step 4: Simplify right side
    531,346.50x = 381,573,211,085.02
  5. Step 5: Solve for x
    x = 381,573,211,085.02/531,346.50
  6. Step 6: Final answer
    x = 718,125.01

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.