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Finding the Third Proportional to 282,630 and 606,210

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Solution

The third proportional to 282,630 and 606,210 is: 1,300,253.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,630 : 606,210 = 606,210 : x
  2. Step 2: Convert to fraction form
    282,630/606,210 = 606,210/x
  3. Step 3: Cross multiply
    282,630x = 606,210 × 606,210
  4. Step 4: Simplify right side
    282,630x = 367,490,564,100
  5. Step 5: Solve for x
    x = 367,490,564,100/282,630
  6. Step 6: Final answer
    x = 1,300,253.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.