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Finding the Third Proportional to 423,869 and 594,139

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Solution

The third proportional to 423,869 and 594,139 is: 832,807.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,869 : 594,139 = 594,139 : x
  2. Step 2: Convert to fraction form
    423,869/594,139 = 594,139/x
  3. Step 3: Cross multiply
    423,869x = 594,139 × 594,139
  4. Step 4: Simplify right side
    423,869x = 353,001,151,321
  5. Step 5: Solve for x
    x = 353,001,151,321/423,869
  6. Step 6: Final answer
    x = 832,807.19

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.