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Finding the Third Proportional to 286,707 and 607,596

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Solution

The third proportional to 286,707 and 607,596 is: 1,287,631.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,707 : 607,596 = 607,596 : x
  2. Step 2: Convert to fraction form
    286,707/607,596 = 607,596/x
  3. Step 3: Cross multiply
    286,707x = 607,596 × 607,596
  4. Step 4: Simplify right side
    286,707x = 369,172,899,216
  5. Step 5: Solve for x
    x = 369,172,899,216/286,707
  6. Step 6: Final answer
    x = 1,287,631.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.