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Finding the Third Proportional to 281,316 and 607,020

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Solution

The third proportional to 281,316 and 607,020 is: 1,309,819.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,316 : 607,020 = 607,020 : x
  2. Step 2: Convert to fraction form
    281,316/607,020 = 607,020/x
  3. Step 3: Cross multiply
    281,316x = 607,020 × 607,020
  4. Step 4: Simplify right side
    281,316x = 368,473,280,400
  5. Step 5: Solve for x
    x = 368,473,280,400/281,316
  6. Step 6: Final answer
    x = 1,309,819.85

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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.