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Finding the Third Proportional to 637,222.50 and 977,946.75

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Solution

The third proportional to 637,222.50 and 977,946.75 is: 1,500,856.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,222.50 : 977,946.75 = 977,946.75 : x
  2. Step 2: Convert to fraction form
    637,222.50/977,946.75 = 977,946.75/x
  3. Step 3: Cross multiply
    637,222.50x = 977,946.75 × 977,946.75
  4. Step 4: Simplify right side
    637,222.50x = 956,379,845,835.56
  5. Step 5: Solve for x
    x = 956,379,845,835.56/637,222.50
  6. Step 6: Final answer
    x = 1,500,856.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.