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Finding the Third Proportional to 321,854.63 and 486,925.13

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Solution

The third proportional to 321,854.63 and 486,925.13 is: 736,655.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,854.63 : 486,925.13 = 486,925.13 : x
  2. Step 2: Convert to fraction form
    321,854.63/486,925.13 = 486,925.13/x
  3. Step 3: Cross multiply
    321,854.63x = 486,925.13 × 486,925.13
  4. Step 4: Simplify right side
    321,854.63x = 237,096,077,356.27
  5. Step 5: Solve for x
    x = 237,096,077,356.27/321,854.63
  6. Step 6: Final answer
    x = 736,655.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.