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Finding the Third Proportional to 446,881.50 and 977,316.75

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Solution

The third proportional to 446,881.50 and 977,316.75 is: 2,137,363.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,881.50 : 977,316.75 = 977,316.75 : x
  2. Step 2: Convert to fraction form
    446,881.50/977,316.75 = 977,316.75/x
  3. Step 3: Cross multiply
    446,881.50x = 977,316.75 × 977,316.75
  4. Step 4: Simplify right side
    446,881.50x = 955,148,029,830.56
  5. Step 5: Solve for x
    x = 955,148,029,830.56/446,881.50
  6. Step 6: Final answer
    x = 2,137,363.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.