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Finding the Third Proportional to 523,282.50 and 1,130,211

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Solution

The third proportional to 523,282.50 and 1,130,211 is: 2,441,084.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,282.50 : 1,130,211 = 1,130,211 : x
  2. Step 2: Convert to fraction form
    523,282.50/1,130,211 = 1,130,211/x
  3. Step 3: Cross multiply
    523,282.50x = 1,130,211 × 1,130,211
  4. Step 4: Simplify right side
    523,282.50x = 1,277,376,904,521
  5. Step 5: Solve for x
    x = 1,277,376,904,521/523,282.50
  6. Step 6: Final answer
    x = 2,441,084.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.