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Finding the Third Proportional to 282,754 and 616,314

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Solution

The third proportional to 282,754 and 616,314 is: 1,343,368.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,754 : 616,314 = 616,314 : x
  2. Step 2: Convert to fraction form
    282,754/616,314 = 616,314/x
  3. Step 3: Cross multiply
    282,754x = 616,314 × 616,314
  4. Step 4: Simplify right side
    282,754x = 379,842,946,596
  5. Step 5: Solve for x
    x = 379,842,946,596/282,754
  6. Step 6: Final answer
    x = 1,343,368.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.