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Finding the Third Proportional to 455,811.75 and 846,569.25

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Solution

The third proportional to 455,811.75 and 846,569.25 is: 1,572,314.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,811.75 : 846,569.25 = 846,569.25 : x
  2. Step 2: Convert to fraction form
    455,811.75/846,569.25 = 846,569.25/x
  3. Step 3: Cross multiply
    455,811.75x = 846,569.25 × 846,569.25
  4. Step 4: Simplify right side
    455,811.75x = 716,679,495,045.56
  5. Step 5: Solve for x
    x = 716,679,495,045.56/455,811.75
  6. Step 6: Final answer
    x = 1,572,314.66

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.