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Finding the Third Proportional to 523,745,244 and 787,804,501.50

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Solution

The third proportional to 523,745,244 and 787,804,501.50 is: 1,184,995,834.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,745,244 : 787,804,501.50 = 787,804,501.50 : x
  2. Step 2: Convert to fraction form
    523,745,244/787,804,501.50 = 787,804,501.50/x
  3. Step 3: Cross multiply
    523,745,244x = 787,804,501.50 × 787,804,501.50
  4. Step 4: Simplify right side
    523,745,244x = 620,635,932,583,663,488
  5. Step 5: Solve for x
    x = 620,635,932,583,663,488/523,745,244
  6. Step 6: Final answer
    x = 1,184,995,834.70

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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.