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Finding the Third Proportional to 614,640.66 and 930,530.53

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Solution

The third proportional to 614,640.66 and 930,530.53 is: 1,408,769.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,640.66 : 930,530.53 = 930,530.53 : x
  2. Step 2: Convert to fraction form
    614,640.66/930,530.53 = 930,530.53/x
  3. Step 3: Cross multiply
    614,640.66x = 930,530.53 × 930,530.53
  4. Step 4: Simplify right side
    614,640.66x = 865,887,069,588.41
  5. Step 5: Solve for x
    x = 865,887,069,588.41/614,640.66
  6. Step 6: Final answer
    x = 1,408,769.60

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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.