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Finding the Third Proportional to 307,854.42 and 460,551.45

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Solution

The third proportional to 307,854.42 and 460,551.45 is: 688,986.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,854.42 : 460,551.45 = 460,551.45 : x
  2. Step 2: Convert to fraction form
    307,854.42/460,551.45 = 460,551.45/x
  3. Step 3: Cross multiply
    307,854.42x = 460,551.45 × 460,551.45
  4. Step 4: Simplify right side
    307,854.42x = 212,107,633,779.43
  5. Step 5: Solve for x
    x = 212,107,633,779.43/307,854.42
  6. Step 6: Final answer
    x = 688,986.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.