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Finding the Third Proportional to 285,158 and 624,748

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Solution

The third proportional to 285,158 and 624,748 is: 1,368,750.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,158 : 624,748 = 624,748 : x
  2. Step 2: Convert to fraction form
    285,158/624,748 = 624,748/x
  3. Step 3: Cross multiply
    285,158x = 624,748 × 624,748
  4. Step 4: Simplify right side
    285,158x = 390,310,063,504
  5. Step 5: Solve for x
    x = 390,310,063,504/285,158
  6. Step 6: Final answer
    x = 1,368,750.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.