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Finding the Third Proportional to 594,650 and 847,687

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Solution

The third proportional to 594,650 and 847,687 is: 1,208,396.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,650 : 847,687 = 847,687 : x
  2. Step 2: Convert to fraction form
    594,650/847,687 = 847,687/x
  3. Step 3: Cross multiply
    594,650x = 847,687 × 847,687
  4. Step 4: Simplify right side
    594,650x = 718,573,249,969
  5. Step 5: Solve for x
    x = 718,573,249,969/594,650
  6. Step 6: Final answer
    x = 1,208,396.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.