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Finding the Third Proportional to 423,875 and 594,148

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Solution

The third proportional to 423,875 and 594,148 is: 832,820.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,875 : 594,148 = 594,148 : x
  2. Step 2: Convert to fraction form
    423,875/594,148 = 594,148/x
  3. Step 3: Cross multiply
    423,875x = 594,148 × 594,148
  4. Step 4: Simplify right side
    423,875x = 353,011,845,904
  5. Step 5: Solve for x
    x = 353,011,845,904/423,875
  6. Step 6: Final answer
    x = 832,820.63

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