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Finding the Third Proportional to 501,516.50 and 977,915

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Solution

The third proportional to 501,516.50 and 977,915 is: 1,906,852.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,516.50 : 977,915 = 977,915 : x
  2. Step 2: Convert to fraction form
    501,516.50/977,915 = 977,915/x
  3. Step 3: Cross multiply
    501,516.50x = 977,915 × 977,915
  4. Step 4: Simplify right side
    501,516.50x = 956,317,747,225
  5. Step 5: Solve for x
    x = 956,317,747,225/501,516.50
  6. Step 6: Final answer
    x = 1,906,852.01

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.