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Finding the Third Proportional to 296,828.30 and 459,904.08

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Solution

The third proportional to 296,828.30 and 459,904.08 is: 712,572.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,828.30 : 459,904.08 = 459,904.08 : x
  2. Step 2: Convert to fraction form
    296,828.30/459,904.08 = 459,904.08/x
  3. Step 3: Cross multiply
    296,828.30x = 459,904.08 × 459,904.08
  4. Step 4: Simplify right side
    296,828.30x = 211,511,761,076.01
  5. Step 5: Solve for x
    x = 211,511,761,076.01/296,828.30
  6. Step 6: Final answer
    x = 712,572.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.