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Finding the Third Proportional to 320,559,591 and 508,003,942.50

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Solution

The third proportional to 320,559,591 and 508,003,942.50 is: 805,054,700.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,559,591 : 508,003,942.50 = 508,003,942.50 : x
  2. Step 2: Convert to fraction form
    320,559,591/508,003,942.50 = 508,003,942.50/x
  3. Step 3: Cross multiply
    320,559,591x = 508,003,942.50 × 508,003,942.50
  4. Step 4: Simplify right side
    320,559,591x = 258,068,005,595,543,296
  5. Step 5: Solve for x
    x = 258,068,005,595,543,296/320,559,591
  6. Step 6: Final answer
    x = 805,054,700.72

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.