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Finding the Third Proportional to 634,944.75 and 846,468

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Solution

The third proportional to 634,944.75 and 846,468 is: 1,128,457.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,944.75 : 846,468 = 846,468 : x
  2. Step 2: Convert to fraction form
    634,944.75/846,468 = 846,468/x
  3. Step 3: Cross multiply
    634,944.75x = 846,468 × 846,468
  4. Step 4: Simplify right side
    634,944.75x = 716,508,075,024
  5. Step 5: Solve for x
    x = 716,508,075,024/634,944.75
  6. Step 6: Final answer
    x = 1,128,457.36

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.