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Finding the Third Proportional to 302,869.13 and 466,939.69

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Solution

The third proportional to 302,869.13 and 466,939.69 is: 719,890.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,869.13 : 466,939.69 = 466,939.69 : x
  2. Step 2: Convert to fraction form
    302,869.13/466,939.69 = 466,939.69/x
  3. Step 3: Cross multiply
    302,869.13x = 466,939.69 × 466,939.69
  4. Step 4: Simplify right side
    302,869.13x = 218,032,671,762.60
  5. Step 5: Solve for x
    x = 218,032,671,762.60/302,869.13
  6. Step 6: Final answer
    x = 719,890.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.