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Finding the Third Proportional to 285,160 and 624,752

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Solution

The third proportional to 285,160 and 624,752 is: 1,368,758.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,160 : 624,752 = 624,752 : x
  2. Step 2: Convert to fraction form
    285,160/624,752 = 624,752/x
  3. Step 3: Cross multiply
    285,160x = 624,752 × 624,752
  4. Step 4: Simplify right side
    285,160x = 390,315,061,504
  5. Step 5: Solve for x
    x = 390,315,061,504/285,160
  6. Step 6: Final answer
    x = 1,368,758.11

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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.