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Finding the Third Proportional to 345,360,174 and 531,379,321.50

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Solution

The third proportional to 345,360,174 and 531,379,321.50 is: 817,592,775.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,360,174 : 531,379,321.50 = 531,379,321.50 : x
  2. Step 2: Convert to fraction form
    345,360,174/531,379,321.50 = 531,379,321.50/x
  3. Step 3: Cross multiply
    345,360,174x = 531,379,321.50 × 531,379,321.50
  4. Step 4: Simplify right side
    345,360,174x = 282,363,983,317,800,352
  5. Step 5: Solve for x
    x = 282,363,983,317,800,352/345,360,174
  6. Step 6: Final answer
    x = 817,592,775.82

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.